What is the Greatest Common Factor of 72624 and 72637?

Greatest common factor (GCF) of 72624 and 72637 is 1.

GCF(72624,72637) = 1

We will now calculate the prime factors of 72624 and 72637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72624 and 72637.

How to find the GCF of 72624 and 72637?

We will first find the prime factorization of 72624 and 72637. After we will calculate the factors of 72624 and 72637 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 72637

Prime factors of 72637 are 19, 3823. Prime factorization of 72637 in exponential form is:

72637 = 19¹ × 3823¹

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 72637

List of positive integer factors of 72637 that divides 72624 without a remainder.

1, 19, 3823

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72624 and 72637. The biggest common factor number is the GCF number.
So the greatest common factor 72624 and 72637 is 1.

Also check out the Least Common Multiple of 72624 and 72637