What is the Greatest Common Factor of 72432 and 72447?

Greatest common factor (GCF) of 72432 and 72447 is 3.

GCF(72432,72447) = 3

We will now calculate the prime factors of 72432 and 72447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72432 and 72447.

How to find the GCF of 72432 and 72447?

We will first find the prime factorization of 72432 and 72447. After we will calculate the factors of 72432 and 72447 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 72447

Prime factors of 72447 are 3, 19, 31, 41. Prime factorization of 72447 in exponential form is:

72447 = 3¹ × 19¹ × 31¹ × 41¹

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 72447

List of positive integer factors of 72447 that divides 72432 without a remainder.

1, 3, 19, 31, 41, 57, 93, 123, 589, 779, 1271, 1767, 2337, 3813, 24149

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72432 and 72447. The biggest common factor number is the GCF number.
So the greatest common factor 72432 and 72447 is 3.

Also check out the Least Common Multiple of 72432 and 72447