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What is the Greatest Common Factor of 28 and 140?

Greatest common factor (GCF) of 28 and 140 is 28.

GCF(28,140) = 28

We will now calculate the prime factors of 28 and 140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28 and 140.

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How to find the GCF of 28 and 140?

We will first find the prime factorization of 28 and 140. After we will calculate the factors of 28 and 140 and find the biggest common factor number .

Step-1: Prime Factorization of 28

Prime factors of 28 are 2, 7. Prime factorization of 28 in exponential form is:

28 = 22 × 71

Step-2: Prime Factorization of 140

Prime factors of 140 are 2, 5, 7. Prime factorization of 140 in exponential form is:

140 = 22 × 51 × 71

Step-3: Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14

Step-4: Factors of 140

List of positive integer factors of 140 that divides 28 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28 and 140. The biggest common factor number is the GCF number.
So the greatest common factor 28 and 140 is 28.

Also check out the Least Common Multiple of 28 and 140

Recent Comments
Guest 2020-10-07 11:08:51

The gcf of 28 and other number is 14 if the lcm is 140 find the missing number

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