What is the Greatest Common Factor of 57128 and 57138?

Greatest common factor (GCF) of 57128 and 57138 is 2.

GCF(57128,57138) = 2

We will now calculate the prime factors of 57128 and 57138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57128 and 57138.

How to find the GCF of 57128 and 57138?

We will first find the prime factorization of 57128 and 57138. After we will calculate the factors of 57128 and 57138 and find the biggest common factor number .

Step-1: Prime Factorization of 57128

Prime factors of 57128 are 2, 37, 193. Prime factorization of 57128 in exponential form is:

57128 = 2³ × 37¹ × 193¹

Step-2: Prime Factorization of 57138

Prime factors of 57138 are 2, 3, 89, 107. Prime factorization of 57138 in exponential form is:

57138 = 2¹ × 3¹ × 89¹ × 107¹

Step-3: Factors of 57128

List of positive integer factors of 57128 that divides 57128 without a remainder.

1, 2, 4, 8, 37, 74, 148, 193, 296, 386, 772, 1544, 7141, 14282, 28564

Step-4: Factors of 57138

List of positive integer factors of 57138 that divides 57128 without a remainder.

1, 2, 3, 6, 89, 107, 178, 214, 267, 321, 534, 642, 9523, 19046, 28569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57128 and 57138. The biggest common factor number is the GCF number.
So the greatest common factor 57128 and 57138 is 2.

Also check out the Least Common Multiple of 57128 and 57138