What is the Greatest Common Factor of 88624 and 88640?

Greatest common factor (GCF) of 88624 and 88640 is 16.

GCF(88624,88640) = 16

We will now calculate the prime factors of 88624 and 88640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88624 and 88640.

How to find the GCF of 88624 and 88640?

We will first find the prime factorization of 88624 and 88640. After we will calculate the factors of 88624 and 88640 and find the biggest common factor number .

Step-1: Prime Factorization of 88624

Prime factors of 88624 are 2, 29, 191. Prime factorization of 88624 in exponential form is:

88624 = 2⁴ × 29¹ × 191¹

Step-2: Prime Factorization of 88640

Prime factors of 88640 are 2, 5, 277. Prime factorization of 88640 in exponential form is:

88640 = 2⁶ × 5¹ × 277¹

Step-3: Factors of 88624

List of positive integer factors of 88624 that divides 88624 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 191, 232, 382, 464, 764, 1528, 3056, 5539, 11078, 22156, 44312

Step-4: Factors of 88640

List of positive integer factors of 88640 that divides 88624 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 277, 320, 554, 1108, 1385, 2216, 2770, 4432, 5540, 8864, 11080, 17728, 22160, 44320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88624 and 88640. The biggest common factor number is the GCF number.
So the greatest common factor 88624 and 88640 is 16.

Also check out the Least Common Multiple of 88624 and 88640