What is the Greatest Common Factor of 72444 and 72456?

Greatest common factor (GCF) of 72444 and 72456 is 12.

GCF(72444,72456) = 12

We will now calculate the prime factors of 72444 and 72456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72444 and 72456.

How to find the GCF of 72444 and 72456?

We will first find the prime factorization of 72444 and 72456. After we will calculate the factors of 72444 and 72456 and find the biggest common factor number .

Step-1: Prime Factorization of 72444

Prime factors of 72444 are 2, 3, 6037. Prime factorization of 72444 in exponential form is:

72444 = 2² × 3¹ × 6037¹

Step-2: Prime Factorization of 72456

Prime factors of 72456 are 2, 3, 3019. Prime factorization of 72456 in exponential form is:

72456 = 2³ × 3¹ × 3019¹

Step-3: Factors of 72444

List of positive integer factors of 72444 that divides 72444 without a remainder.

1, 2, 3, 4, 6, 12, 6037, 12074, 18111, 24148, 36222

Step-4: Factors of 72456

List of positive integer factors of 72456 that divides 72444 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3019, 6038, 9057, 12076, 18114, 24152, 36228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72444 and 72456. The biggest common factor number is the GCF number.
So the greatest common factor 72444 and 72456 is 12.

Also check out the Least Common Multiple of 72444 and 72456