What is the Greatest Common Factor of 88416 and 88432?

Greatest common factor (GCF) of 88416 and 88432 is 16.

GCF(88416,88432) = 16

We will now calculate the prime factors of 88416 and 88432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88416 and 88432.

How to find the GCF of 88416 and 88432?

We will first find the prime factorization of 88416 and 88432. After we will calculate the factors of 88416 and 88432 and find the biggest common factor number .

Step-1: Prime Factorization of 88416

Prime factors of 88416 are 2, 3, 307. Prime factorization of 88416 in exponential form is:

88416 = 2⁵ × 3² × 307¹

Step-2: Prime Factorization of 88432

Prime factors of 88432 are 2, 5527. Prime factorization of 88432 in exponential form is:

88432 = 2⁴ × 5527¹

Step-3: Factors of 88416

List of positive integer factors of 88416 that divides 88416 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288, 307, 614, 921, 1228, 1842, 2456, 2763, 3684, 4912, 5526, 7368, 9824, 11052, 14736, 22104, 29472, 44208

Step-4: Factors of 88432

List of positive integer factors of 88432 that divides 88416 without a remainder.

1, 2, 4, 8, 16, 5527, 11054, 22108, 44216

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88416 and 88432. The biggest common factor number is the GCF number.
So the greatest common factor 88416 and 88432 is 16.

Also check out the Least Common Multiple of 88416 and 88432