What is the Greatest Common Factor of 89728 and 89744?

Greatest common factor (GCF) of 89728 and 89744 is 16.

GCF(89728,89744) = 16

We will now calculate the prime factors of 89728 and 89744, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89728 and 89744.

How to find the GCF of 89728 and 89744?

We will first find the prime factorization of 89728 and 89744. After we will calculate the factors of 89728 and 89744 and find the biggest common factor number .

Step-1: Prime Factorization of 89728

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

89728 = 2⁷ × 701¹

Step-2: Prime Factorization of 89744

Prime factors of 89744 are 2, 71, 79. Prime factorization of 89744 in exponential form is:

89744 = 2⁴ × 71¹ × 79¹

Step-3: Factors of 89728

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

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

Step-4: Factors of 89744

List of positive integer factors of 89744 that divides 89728 without a remainder.

1, 2, 4, 8, 16, 71, 79, 142, 158, 284, 316, 568, 632, 1136, 1264, 5609, 11218, 22436, 44872

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89728 and 89744. The biggest common factor number is the GCF number.
So the greatest common factor 89728 and 89744 is 16.

Also check out the Least Common Multiple of 89728 and 89744