What is the Greatest Common Factor of 89708 and 89728?

Greatest common factor (GCF) of 89708 and 89728 is 4.

GCF(89708,89728) = 4

We will now calculate the prime factors of 89708 and 89728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89708 and 89728.

How to find the GCF of 89708 and 89728?

We will first find the prime factorization of 89708 and 89728. After we will calculate the factors of 89708 and 89728 and find the biggest common factor number .

Step-1: Prime Factorization of 89708

Prime factors of 89708 are 2, 41, 547. Prime factorization of 89708 in exponential form is:

89708 = 2² × 41¹ × 547¹

Step-2: Prime Factorization of 89728

Prime factors of 89728 are 2, 701. Prime factorization of 89728 in exponential form is:

89728 = 2⁷ × 701¹

Step-3: Factors of 89708

List of positive integer factors of 89708 that divides 89708 without a remainder.

1, 2, 4, 41, 82, 164, 547, 1094, 2188, 22427, 44854

Step-4: Factors of 89728

List of positive integer factors of 89728 that divides 89708 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 701, 1402, 2804, 5608, 11216, 22432, 44864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89708 and 89728. The biggest common factor number is the GCF number.
So the greatest common factor 89708 and 89728 is 4.

Also check out the Least Common Multiple of 89708 and 89728