What is the Greatest Common Factor of 88512 and 88528?

Greatest common factor (GCF) of 88512 and 88528 is 16.

GCF(88512,88528) = 16

We will now calculate the prime factors of 88512 and 88528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88512 and 88528.

How to find the GCF of 88512 and 88528?

We will first find the prime factorization of 88512 and 88528. After we will calculate the factors of 88512 and 88528 and find the biggest common factor number .

Step-1: Prime Factorization of 88512

Prime factors of 88512 are 2, 3, 461. Prime factorization of 88512 in exponential form is:

88512 = 2⁶ × 3¹ × 461¹

Step-2: Prime Factorization of 88528

Prime factors of 88528 are 2, 11, 503. Prime factorization of 88528 in exponential form is:

88528 = 2⁴ × 11¹ × 503¹

Step-3: Factors of 88512

List of positive integer factors of 88512 that divides 88512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 461, 922, 1383, 1844, 2766, 3688, 5532, 7376, 11064, 14752, 22128, 29504, 44256

Step-4: Factors of 88528

List of positive integer factors of 88528 that divides 88512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 503, 1006, 2012, 4024, 5533, 8048, 11066, 22132, 44264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88512 and 88528. The biggest common factor number is the GCF number.
So the greatest common factor 88512 and 88528 is 16.

Also check out the Least Common Multiple of 88512 and 88528