What is the Greatest Common Factor of 88924 and 88928?

Greatest common factor (GCF) of 88924 and 88928 is 4.

GCF(88924,88928) = 4

We will now calculate the prime factors of 88924 and 88928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88924 and 88928.

How to find the GCF of 88924 and 88928?

We will first find the prime factorization of 88924 and 88928. After we will calculate the factors of 88924 and 88928 and find the biggest common factor number .

Step-1: Prime Factorization of 88924

Prime factors of 88924 are 2, 11, 43, 47. Prime factorization of 88924 in exponential form is:

88924 = 2² × 11¹ × 43¹ × 47¹

Step-2: 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-3: Factors of 88924

List of positive integer factors of 88924 that divides 88924 without a remainder.

1, 2, 4, 11, 22, 43, 44, 47, 86, 94, 172, 188, 473, 517, 946, 1034, 1892, 2021, 2068, 4042, 8084, 22231, 44462

Step-4: Factors of 88928

List of positive integer factors of 88928 that divides 88924 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88924 and 88928. The biggest common factor number is the GCF number.
So the greatest common factor 88924 and 88928 is 4.

Also check out the Least Common Multiple of 88924 and 88928