What is the Greatest Common Factor of 57642 and 57655?

Greatest common factor (GCF) of 57642 and 57655 is 13.

GCF(57642,57655) = 13

We will now calculate the prime factors of 57642 and 57655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57642 and 57655.

How to find the GCF of 57642 and 57655?

We will first find the prime factorization of 57642 and 57655. After we will calculate the factors of 57642 and 57655 and find the biggest common factor number .

Step-1: Prime Factorization of 57642

Prime factors of 57642 are 2, 3, 13, 739. Prime factorization of 57642 in exponential form is:

57642 = 2¹ × 3¹ × 13¹ × 739¹

Step-2: Prime Factorization of 57655

Prime factors of 57655 are 5, 13, 887. Prime factorization of 57655 in exponential form is:

57655 = 5¹ × 13¹ × 887¹

Step-3: Factors of 57642

List of positive integer factors of 57642 that divides 57642 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 739, 1478, 2217, 4434, 9607, 19214, 28821

Step-4: Factors of 57655

List of positive integer factors of 57655 that divides 57642 without a remainder.

1, 5, 13, 65, 887, 4435, 11531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57642 and 57655. The biggest common factor number is the GCF number.
So the greatest common factor 57642 and 57655 is 13.

Also check out the Least Common Multiple of 57642 and 57655