What is the Greatest Common Factor of 72715 and 72734?

Greatest common factor (GCF) of 72715 and 72734 is 1.

GCF(72715,72734) = 1

We will now calculate the prime factors of 72715 and 72734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72715 and 72734.

How to find the GCF of 72715 and 72734?

We will first find the prime factorization of 72715 and 72734. After we will calculate the factors of 72715 and 72734 and find the biggest common factor number .

Step-1: Prime Factorization of 72715

Prime factors of 72715 are 5, 14543. Prime factorization of 72715 in exponential form is:

72715 = 5¹ × 14543¹

Step-2: Prime Factorization of 72734

Prime factors of 72734 are 2, 41, 887. Prime factorization of 72734 in exponential form is:

72734 = 2¹ × 41¹ × 887¹

Step-3: Factors of 72715

List of positive integer factors of 72715 that divides 72715 without a remainder.

1, 5, 14543

Step-4: Factors of 72734

List of positive integer factors of 72734 that divides 72715 without a remainder.

1, 2, 41, 82, 887, 1774, 36367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72715 and 72734. The biggest common factor number is the GCF number.
So the greatest common factor 72715 and 72734 is 1.

Also check out the Least Common Multiple of 72715 and 72734