What is the Greatest Common Factor of 76539 and 76557?

Greatest common factor (GCF) of 76539 and 76557 is 3.

GCF(76539,76557) = 3

We will now calculate the prime factors of 76539 and 76557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76539 and 76557.

How to find the GCF of 76539 and 76557?

We will first find the prime factorization of 76539 and 76557. After we will calculate the factors of 76539 and 76557 and find the biggest common factor number .

Step-1: Prime Factorization of 76539

Prime factors of 76539 are 3, 31, 823. Prime factorization of 76539 in exponential form is:

76539 = 3¹ × 31¹ × 823¹

Step-2: Prime Factorization of 76557

Prime factors of 76557 are 3, 13, 151. Prime factorization of 76557 in exponential form is:

76557 = 3¹ × 13² × 151¹

Step-3: Factors of 76539

List of positive integer factors of 76539 that divides 76539 without a remainder.

1, 3, 31, 93, 823, 2469, 25513

Step-4: Factors of 76557

List of positive integer factors of 76557 that divides 76539 without a remainder.

1, 3, 13, 39, 151, 169, 453, 507, 1963, 5889, 25519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76539 and 76557. The biggest common factor number is the GCF number.
So the greatest common factor 76539 and 76557 is 3.

Also check out the Least Common Multiple of 76539 and 76557