What is the Greatest Common Factor of 72628 and 72647?

Greatest common factor (GCF) of 72628 and 72647 is 1.

GCF(72628,72647) = 1

We will now calculate the prime factors of 72628 and 72647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72628 and 72647.

How to find the GCF of 72628 and 72647?

We will first find the prime factorization of 72628 and 72647. After we will calculate the factors of 72628 and 72647 and find the biggest common factor number .

Step-1: Prime Factorization of 72628

Prime factors of 72628 are 2, 67, 271. Prime factorization of 72628 in exponential form is:

72628 = 2² × 67¹ × 271¹

Step-2: Prime Factorization of 72647

Prime factors of 72647 are 72647. Prime factorization of 72647 in exponential form is:

72647 = 72647¹

Step-3: Factors of 72628

List of positive integer factors of 72628 that divides 72628 without a remainder.

1, 2, 4, 67, 134, 268, 271, 542, 1084, 18157, 36314

Step-4: Factors of 72647

List of positive integer factors of 72647 that divides 72628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72628 and 72647. The biggest common factor number is the GCF number.
So the greatest common factor 72628 and 72647 is 1.

Also check out the Least Common Multiple of 72628 and 72647