What is the Greatest Common Factor of 72647 and 72660?

Greatest common factor (GCF) of 72647 and 72660 is 1.

GCF(72647,72660) = 1

We will now calculate the prime factors of 72647 and 72660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72647 and 72660.

How to find the GCF of 72647 and 72660?

We will first find the prime factorization of 72647 and 72660. After we will calculate the factors of 72647 and 72660 and find the biggest common factor number .

Step-1: Prime Factorization of 72647

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

72647 = 72647¹

Step-2: Prime Factorization of 72660

Prime factors of 72660 are 2, 3, 5, 7, 173. Prime factorization of 72660 in exponential form is:

72660 = 2² × 3¹ × 5¹ × 7¹ × 173¹

Step-3: Factors of 72647

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

Step-4: Factors of 72660

List of positive integer factors of 72660 that divides 72647 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 173, 210, 346, 420, 519, 692, 865, 1038, 1211, 1730, 2076, 2422, 2595, 3460, 3633, 4844, 5190, 6055, 7266, 10380, 12110, 14532, 18165, 24220, 36330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72647 and 72660. The biggest common factor number is the GCF number.
So the greatest common factor 72647 and 72660 is 1.

Also check out the Least Common Multiple of 72647 and 72660