What is the Greatest Common Factor of 69712 and 69728?

Greatest common factor (GCF) of 69712 and 69728 is 16.

GCF(69712,69728) = 16

We will now calculate the prime factors of 69712 and 69728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69712 and 69728.

How to find the GCF of 69712 and 69728?

We will first find the prime factorization of 69712 and 69728. After we will calculate the factors of 69712 and 69728 and find the biggest common factor number .

Step-1: Prime Factorization of 69712

Prime factors of 69712 are 2, 4357. Prime factorization of 69712 in exponential form is:

69712 = 2⁴ × 4357¹

Step-2: Prime Factorization of 69728

Prime factors of 69728 are 2, 2179. Prime factorization of 69728 in exponential form is:

69728 = 2⁵ × 2179¹

Step-3: Factors of 69712

List of positive integer factors of 69712 that divides 69712 without a remainder.

1, 2, 4, 8, 16, 4357, 8714, 17428, 34856

Step-4: Factors of 69728

List of positive integer factors of 69728 that divides 69712 without a remainder.

1, 2, 4, 8, 16, 32, 2179, 4358, 8716, 17432, 34864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69712 and 69728. The biggest common factor number is the GCF number.
So the greatest common factor 69712 and 69728 is 16.

Also check out the Least Common Multiple of 69712 and 69728