What is the Greatest Common Factor of 72910 and 72925?

Greatest common factor (GCF) of 72910 and 72925 is 5.

GCF(72910,72925) = 5

We will now calculate the prime factors of 72910 and 72925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72910 and 72925.

How to find the GCF of 72910 and 72925?

We will first find the prime factorization of 72910 and 72925. After we will calculate the factors of 72910 and 72925 and find the biggest common factor number .

Step-1: Prime Factorization of 72910

Prime factors of 72910 are 2, 5, 23, 317. Prime factorization of 72910 in exponential form is:

72910 = 2¹ × 5¹ × 23¹ × 317¹

Step-2: Prime Factorization of 72925

Prime factors of 72925 are 5, 2917. Prime factorization of 72925 in exponential form is:

72925 = 5² × 2917¹

Step-3: Factors of 72910

List of positive integer factors of 72910 that divides 72910 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 317, 634, 1585, 3170, 7291, 14582, 36455

Step-4: Factors of 72925

List of positive integer factors of 72925 that divides 72910 without a remainder.

1, 5, 25, 2917, 14585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72910 and 72925. The biggest common factor number is the GCF number.
So the greatest common factor 72910 and 72925 is 5.

Also check out the Least Common Multiple of 72910 and 72925