What is the Greatest Common Factor of 72624 and 72638?

Greatest common factor (GCF) of 72624 and 72638 is 2.

GCF(72624,72638) = 2

We will now calculate the prime factors of 72624 and 72638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72624 and 72638.

How to find the GCF of 72624 and 72638?

We will first find the prime factorization of 72624 and 72638. After we will calculate the factors of 72624 and 72638 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 72638

Prime factors of 72638 are 2, 36319. Prime factorization of 72638 in exponential form is:

72638 = 2¹ × 36319¹

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 72638

List of positive integer factors of 72638 that divides 72624 without a remainder.

1, 2, 36319

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72624 and 72638. The biggest common factor number is the GCF number.
So the greatest common factor 72624 and 72638 is 2.

Also check out the Least Common Multiple of 72624 and 72638