What is the Greatest Common Factor of 76710 and 76725?

Greatest common factor (GCF) of 76710 and 76725 is 15.

GCF(76710,76725) = 15

We will now calculate the prime factors of 76710 and 76725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76710 and 76725.

How to find the GCF of 76710 and 76725?

We will first find the prime factorization of 76710 and 76725. After we will calculate the factors of 76710 and 76725 and find the biggest common factor number .

Step-1: Prime Factorization of 76710

Prime factors of 76710 are 2, 3, 5, 2557. Prime factorization of 76710 in exponential form is:

76710 = 2¹ × 3¹ × 5¹ × 2557¹

Step-2: Prime Factorization of 76725

Prime factors of 76725 are 3, 5, 11, 31. Prime factorization of 76725 in exponential form is:

76725 = 3² × 5² × 11¹ × 31¹

Step-3: Factors of 76710

List of positive integer factors of 76710 that divides 76710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2557, 5114, 7671, 12785, 15342, 25570, 38355

Step-4: Factors of 76725

List of positive integer factors of 76725 that divides 76710 without a remainder.

1, 3, 5, 9, 11, 15, 25, 31, 33, 45, 55, 75, 93, 99, 155, 165, 225, 275, 279, 341, 465, 495, 775, 825, 1023, 1395, 1705, 2325, 2475, 3069, 5115, 6975, 8525, 15345, 25575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76710 and 76725. The biggest common factor number is the GCF number.
So the greatest common factor 76710 and 76725 is 15.

Also check out the Least Common Multiple of 76710 and 76725