What is the Greatest Common Factor of 72608 and 72627?

Greatest common factor (GCF) of 72608 and 72627 is 1.

GCF(72608,72627) = 1

We will now calculate the prime factors of 72608 and 72627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72608 and 72627.

How to find the GCF of 72608 and 72627?

We will first find the prime factorization of 72608 and 72627. After we will calculate the factors of 72608 and 72627 and find the biggest common factor number .

Step-1: Prime Factorization of 72608

Prime factors of 72608 are 2, 2269. Prime factorization of 72608 in exponential form is:

72608 = 2⁵ × 2269¹

Step-2: Prime Factorization of 72627

Prime factors of 72627 are 3, 43, 563. Prime factorization of 72627 in exponential form is:

72627 = 3¹ × 43¹ × 563¹

Step-3: Factors of 72608

List of positive integer factors of 72608 that divides 72608 without a remainder.

1, 2, 4, 8, 16, 32, 2269, 4538, 9076, 18152, 36304

Step-4: Factors of 72627

List of positive integer factors of 72627 that divides 72608 without a remainder.

1, 3, 43, 129, 563, 1689, 24209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72608 and 72627. The biggest common factor number is the GCF number.
So the greatest common factor 72608 and 72627 is 1.

Also check out the Least Common Multiple of 72608 and 72627