GCF of 28 and 70 is the largest possible number that divides 28 and also 70 specifically without any remainder. The determinants of 28 and 70 space 1, 2, 4, 7, 14, 28 and also 1, 2, 5, 7, 10, 14, 35, 70 respectively. There room 3 frequently used techniques to uncover the GCF the 28 and also 70 - lengthy division, prime factorization, and also Euclidean algorithm.

You are watching: What is the greatest common factor of 28 and 70

1.GCF the 28 and also 70
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and 70 is 14.

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Explanation:

The GCF of two non-zero integers, x(28) and also y(70), is the greatest positive integer m(14) the divides both x(28) and also y(70) without any type of remainder.


The approaches to uncover the GCF the 28 and 70 are defined below.

Prime factorization MethodListing common FactorsLong department Method

GCF that 28 and 70 by element Factorization

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Prime administrate of 28 and also 70 is (2 × 2 × 7) and (2 × 5 × 7) respectively. As visible, 28 and 70 have typical prime factors. Hence, the GCF that 28 and also 70 is 2 × 7 = 14.

GCF the 28 and 70 through Listing common Factors

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Factors of 28: 1, 2, 4, 7, 14, 28Factors the 70: 1, 2, 5, 7, 10, 14, 35, 70

There room 4 usual factors of 28 and 70, that are 1, 2, 14, and also 7. Therefore, the greatest typical factor that 28 and also 70 is 14.

GCF of 28 and 70 by lengthy Division

GCF that 28 and also 70 is the divisor that we obtain when the remainder becomes 0 ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of action 1 (28) by the remainder (14).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (14) is the GCF that 28 and also 70.

☛ also Check:


GCF of 28 and 70 Examples


Example 1: For 2 numbers, GCF = 14 and LCM = 140. If one number is 28, uncover the other number.

Solution:

Given: GCF (y, 28) = 14 and also LCM (y, 28) = 140∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (14 × 140)/28⇒ y = 70Therefore, the other number is 70.


Example 2: discover the GCF the 28 and also 70, if your LCM is 140.

Solution:

∵ LCM × GCF = 28 × 70⇒ GCF(28, 70) = (28 × 70)/140 = 14Therefore, the greatest usual factor that 28 and 70 is 14.


Example 3: The product of two numbers is 1960. If your GCF is 14, what is your LCM?

Solution:

Given: GCF = 14 and also product of numbers = 1960∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 1960/14Therefore, the LCM is 140.


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FAQs ~ above GCF that 28 and 70

What is the GCF of 28 and also 70?

The GCF the 28 and also 70 is 14. To calculation the greatest typical factor (GCF) of 28 and also 70, we need to element each number (factors of 28 = 1, 2, 4, 7, 14, 28; components of 70 = 1, 2, 5, 7, 10, 14, 35, 70) and choose the greatest aspect that exactly divides both 28 and 70, i.e., 14.

What is the Relation between LCM and also GCF the 28, 70?

The following equation can be offered to express the relation in between Least typical Multiple (LCM) and also GCF the 28 and 70, i.e. GCF × LCM = 28 × 70.

If the GCF of 70 and 28 is 14, discover its LCM.

GCF(70, 28) × LCM(70, 28) = 70 × 28Since the GCF of 70 and also 28 = 14⇒ 14 × LCM(70, 28) = 1960Therefore, LCM = 140☛ Greatest common Factor Calculator

How to uncover the GCF the 28 and also 70 through Long department Method?

To find the GCF that 28, 70 utilizing long department method, 70 is separated by 28. The corresponding divisor (14) as soon as remainder equates to 0 is taken together GCF.

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How to find the GCF that 28 and also 70 by prime Factorization?

To discover the GCF that 28 and also 70, us will discover the prime factorization of the offered numbers, i.e. 28 = 2 × 2 × 7; 70 = 2 × 5 × 7.⇒ because 2, 7 are typical terms in the prime factorization of 28 and 70. Hence, GCF(28, 70) = 2 × 7 = 14☛ What room Prime Numbers?

What space the methods to uncover GCF of 28 and 70?

There are three commonly used methods to discover the GCF of 28 and also 70.