What is the Greatest Common Factor of 72456 and 72475?

Greatest common factor (GCF) of 72456 and 72475 is 1.

GCF(72456,72475) = 1

We will now calculate the prime factors of 72456 and 72475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72456 and 72475.

How to find the GCF of 72456 and 72475?

We will first find the prime factorization of 72456 and 72475. After we will calculate the factors of 72456 and 72475 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72475

Prime factors of 72475 are 5, 13, 223. Prime factorization of 72475 in exponential form is:

72475 = 5² × 13¹ × 223¹

Step-3: Factors of 72456

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

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

Step-4: Factors of 72475

List of positive integer factors of 72475 that divides 72456 without a remainder.

1, 5, 13, 25, 65, 223, 325, 1115, 2899, 5575, 14495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72456 and 72475. The biggest common factor number is the GCF number.
So the greatest common factor 72456 and 72475 is 1.

Also check out the Least Common Multiple of 72456 and 72475