What is the Greatest Common Factor of 72604 and 72624?

Greatest common factor (GCF) of 72604 and 72624 is 4.

GCF(72604,72624) = 4

We will now calculate the prime factors of 72604 and 72624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72604 and 72624.

How to find the GCF of 72604 and 72624?

We will first find the prime factorization of 72604 and 72624. After we will calculate the factors of 72604 and 72624 and find the biggest common factor number .

Step-1: Prime Factorization of 72604

Prime factors of 72604 are 2, 7, 2593. Prime factorization of 72604 in exponential form is:

72604 = 2² × 7¹ × 2593¹

Step-2: 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-3: Factors of 72604

List of positive integer factors of 72604 that divides 72604 without a remainder.

1, 2, 4, 7, 14, 28, 2593, 5186, 10372, 18151, 36302

Step-4: Factors of 72624

List of positive integer factors of 72624 that divides 72604 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72604 and 72624. The biggest common factor number is the GCF number.
So the greatest common factor 72604 and 72624 is 4.

Also check out the Least Common Multiple of 72604 and 72624