What is the Greatest Common Factor of 69724 and 69728?

Greatest common factor (GCF) of 69724 and 69728 is 4.

GCF(69724,69728) = 4

We will now calculate the prime factors of 69724 and 69728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69724 and 69728.

How to find the GCF of 69724 and 69728?

We will first find the prime factorization of 69724 and 69728. After we will calculate the factors of 69724 and 69728 and find the biggest common factor number .

Step-1: Prime Factorization of 69724

Prime factors of 69724 are 2, 17431. Prime factorization of 69724 in exponential form is:

69724 = 2² × 17431¹

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 69724

List of positive integer factors of 69724 that divides 69724 without a remainder.

1, 2, 4, 17431, 34862

Step-4: Factors of 69728

List of positive integer factors of 69728 that divides 69724 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 69724 and 69728. The biggest common factor number is the GCF number.
So the greatest common factor 69724 and 69728 is 4.

Also check out the Least Common Multiple of 69724 and 69728