What is the Greatest Common Factor of 72624 and 72630?

Greatest common factor (GCF) of 72624 and 72630 is 6.

GCF(72624,72630) = 6

We will now calculate the prime factors of 72624 and 72630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72624 and 72630.

How to find the GCF of 72624 and 72630?

We will first find the prime factorization of 72624 and 72630. After we will calculate the factors of 72624 and 72630 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 72630

Prime factors of 72630 are 2, 3, 5, 269. Prime factorization of 72630 in exponential form is:

72630 = 2¹ × 3³ × 5¹ × 269¹

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 72630

List of positive integer factors of 72630 that divides 72624 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 269, 270, 538, 807, 1345, 1614, 2421, 2690, 4035, 4842, 7263, 8070, 12105, 14526, 24210, 36315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72624 and 72630. The biggest common factor number is the GCF number.
So the greatest common factor 72624 and 72630 is 6.

Also check out the Least Common Multiple of 72624 and 72630