What is the Greatest Common Factor of 72432 and 72444?

Greatest common factor (GCF) of 72432 and 72444 is 12.

GCF(72432,72444) = 12

We will now calculate the prime factors of 72432 and 72444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72432 and 72444.

How to find the GCF of 72432 and 72444?

We will first find the prime factorization of 72432 and 72444. After we will calculate the factors of 72432 and 72444 and find the biggest common factor number .

Step-1: Prime Factorization of 72432

Prime factors of 72432 are 2, 3, 503. Prime factorization of 72432 in exponential form is:

72432 = 2⁴ × 3² × 503¹

Step-2: 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-3: Factors of 72432

List of positive integer factors of 72432 that divides 72432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 503, 1006, 1509, 2012, 3018, 4024, 4527, 6036, 8048, 9054, 12072, 18108, 24144, 36216

Step-4: Factors of 72444

List of positive integer factors of 72444 that divides 72432 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72432 and 72444. The biggest common factor number is the GCF number.
So the greatest common factor 72432 and 72444 is 12.

Also check out the Least Common Multiple of 72432 and 72444