What is the Greatest Common Factor of 72252 and 72264?

Greatest common factor (GCF) of 72252 and 72264 is 12.

GCF(72252,72264) = 12

We will now calculate the prime factors of 72252 and 72264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72252 and 72264.

How to find the GCF of 72252 and 72264?

We will first find the prime factorization of 72252 and 72264. After we will calculate the factors of 72252 and 72264 and find the biggest common factor number .

Step-1: Prime Factorization of 72252

Prime factors of 72252 are 2, 3, 223. Prime factorization of 72252 in exponential form is:

72252 = 2² × 3⁴ × 223¹

Step-2: Prime Factorization of 72264

Prime factors of 72264 are 2, 3, 3011. Prime factorization of 72264 in exponential form is:

72264 = 2³ × 3¹ × 3011¹

Step-3: Factors of 72252

List of positive integer factors of 72252 that divides 72252 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 223, 324, 446, 669, 892, 1338, 2007, 2676, 4014, 6021, 8028, 12042, 18063, 24084, 36126

Step-4: Factors of 72264

List of positive integer factors of 72264 that divides 72252 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3011, 6022, 9033, 12044, 18066, 24088, 36132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72252 and 72264. The biggest common factor number is the GCF number.
So the greatest common factor 72252 and 72264 is 12.

Also check out the Least Common Multiple of 72252 and 72264