What is the Greatest Common Factor of 88416 and 88425?

Greatest common factor (GCF) of 88416 and 88425 is 9.

GCF(88416,88425) = 9

We will now calculate the prime factors of 88416 and 88425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88416 and 88425.

How to find the GCF of 88416 and 88425?

We will first find the prime factorization of 88416 and 88425. After we will calculate the factors of 88416 and 88425 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 88425

Prime factors of 88425 are 3, 5, 131. Prime factorization of 88425 in exponential form is:

88425 = 3³ × 5² × 131¹

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 88425

List of positive integer factors of 88425 that divides 88416 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 131, 135, 225, 393, 655, 675, 1179, 1965, 3275, 3537, 5895, 9825, 17685, 29475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88416 and 88425. The biggest common factor number is the GCF number.
So the greatest common factor 88416 and 88425 is 9.

Also check out the Least Common Multiple of 88416 and 88425