What is the Greatest Common Factor of 57031 and 57044?

Greatest common factor (GCF) of 57031 and 57044 is 13.

GCF(57031,57044) = 13

We will now calculate the prime factors of 57031 and 57044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57031 and 57044.

How to find the GCF of 57031 and 57044?

We will first find the prime factorization of 57031 and 57044. After we will calculate the factors of 57031 and 57044 and find the biggest common factor number .

Step-1: Prime Factorization of 57031

Prime factors of 57031 are 13, 41, 107. Prime factorization of 57031 in exponential form is:

57031 = 13¹ × 41¹ × 107¹

Step-2: Prime Factorization of 57044

Prime factors of 57044 are 2, 13, 1097. Prime factorization of 57044 in exponential form is:

57044 = 2² × 13¹ × 1097¹

Step-3: Factors of 57031

List of positive integer factors of 57031 that divides 57031 without a remainder.

1, 13, 41, 107, 533, 1391, 4387

Step-4: Factors of 57044

List of positive integer factors of 57044 that divides 57031 without a remainder.

1, 2, 4, 13, 26, 52, 1097, 2194, 4388, 14261, 28522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57031 and 57044. The biggest common factor number is the GCF number.
So the greatest common factor 57031 and 57044 is 13.

Also check out the Least Common Multiple of 57031 and 57044