What is the Greatest Common Factor of 72624 and 72640?

Greatest common factor (GCF) of 72624 and 72640 is 16.

GCF(72624,72640) = 16

We will now calculate the prime factors of 72624 and 72640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72624 and 72640.

How to find the GCF of 72624 and 72640?

We will first find the prime factorization of 72624 and 72640. After we will calculate the factors of 72624 and 72640 and find the biggest common factor number .

Step-1: Prime Factorization of 72624

Prime factors of 72624 are 2, 3, 17, 89. Prime factorization of 72624 in exponential form is:

72624 = 2⁴ × 3¹ × 17¹ × 89¹

Step-2: Prime Factorization of 72640

Prime factors of 72640 are 2, 5, 227. Prime factorization of 72640 in exponential form is:

72640 = 2⁶ × 5¹ × 227¹

Step-3: Factors of 72624

List of positive integer factors of 72624 that divides 72624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 89, 102, 136, 178, 204, 267, 272, 356, 408, 534, 712, 816, 1068, 1424, 1513, 2136, 3026, 4272, 4539, 6052, 9078, 12104, 18156, 24208, 36312

Step-4: Factors of 72640

List of positive integer factors of 72640 that divides 72624 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 227, 320, 454, 908, 1135, 1816, 2270, 3632, 4540, 7264, 9080, 14528, 18160, 36320

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72624 and 72640. The biggest common factor number is the GCF number.
So the greatest common factor 72624 and 72640 is 16.

Also check out the Least Common Multiple of 72624 and 72640