What is the Greatest Common Factor of 88928 and 88944?

Greatest common factor (GCF) of 88928 and 88944 is 16.

GCF(88928,88944) = 16

We will now calculate the prime factors of 88928 and 88944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88928 and 88944.

How to find the GCF of 88928 and 88944?

We will first find the prime factorization of 88928 and 88944. After we will calculate the factors of 88928 and 88944 and find the biggest common factor number .

Step-1: Prime Factorization of 88928

Prime factors of 88928 are 2, 7, 397. Prime factorization of 88928 in exponential form is:

88928 = 2⁵ × 7¹ × 397¹

Step-2: Prime Factorization of 88944

Prime factors of 88944 are 2, 3, 17, 109. Prime factorization of 88944 in exponential form is:

88944 = 2⁴ × 3¹ × 17¹ × 109¹

Step-3: Factors of 88928

List of positive integer factors of 88928 that divides 88928 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 397, 794, 1588, 2779, 3176, 5558, 6352, 11116, 12704, 22232, 44464

Step-4: Factors of 88944

List of positive integer factors of 88944 that divides 88928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 109, 136, 204, 218, 272, 327, 408, 436, 654, 816, 872, 1308, 1744, 1853, 2616, 3706, 5232, 5559, 7412, 11118, 14824, 22236, 29648, 44472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88928 and 88944. The biggest common factor number is the GCF number.
So the greatest common factor 88928 and 88944 is 16.

Also check out the Least Common Multiple of 88928 and 88944