What is the Greatest Common Factor of 76557 and 76570?

Greatest common factor (GCF) of 76557 and 76570 is 13.

GCF(76557,76570) = 13

We will now calculate the prime factors of 76557 and 76570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76557 and 76570.

How to find the GCF of 76557 and 76570?

We will first find the prime factorization of 76557 and 76570. After we will calculate the factors of 76557 and 76570 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 76570

Prime factors of 76570 are 2, 5, 13, 19, 31. Prime factorization of 76570 in exponential form is:

76570 = 2¹ × 5¹ × 13¹ × 19¹ × 31¹

Step-3: Factors of 76557

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

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

Step-4: Factors of 76570

List of positive integer factors of 76570 that divides 76557 without a remainder.

1, 2, 5, 10, 13, 19, 26, 31, 38, 62, 65, 95, 130, 155, 190, 247, 310, 403, 494, 589, 806, 1178, 1235, 2015, 2470, 2945, 4030, 5890, 7657, 15314, 38285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76557 and 76570. The biggest common factor number is the GCF number.
So the greatest common factor 76557 and 76570 is 13.

Also check out the Least Common Multiple of 76557 and 76570