What is the Greatest Common Factor of 57038 and 57057?

Greatest common factor (GCF) of 57038 and 57057 is 19.

GCF(57038,57057) = 19

We will now calculate the prime factors of 57038 and 57057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57038 and 57057.

How to find the GCF of 57038 and 57057?

We will first find the prime factorization of 57038 and 57057. After we will calculate the factors of 57038 and 57057 and find the biggest common factor number .

Step-1: Prime Factorization of 57038

Prime factors of 57038 are 2, 19, 79. Prime factorization of 57038 in exponential form is:

57038 = 2¹ × 19² × 79¹

Step-2: Prime Factorization of 57057

Prime factors of 57057 are 3, 7, 11, 13, 19. Prime factorization of 57057 in exponential form is:

57057 = 3¹ × 7¹ × 11¹ × 13¹ × 19¹

Step-3: Factors of 57038

List of positive integer factors of 57038 that divides 57038 without a remainder.

1, 2, 19, 38, 79, 158, 361, 722, 1501, 3002, 28519

Step-4: Factors of 57057

List of positive integer factors of 57057 that divides 57038 without a remainder.

1, 3, 7, 11, 13, 19, 21, 33, 39, 57, 77, 91, 133, 143, 209, 231, 247, 273, 399, 429, 627, 741, 1001, 1463, 1729, 2717, 3003, 4389, 5187, 8151, 19019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57038 and 57057. The biggest common factor number is the GCF number.
So the greatest common factor 57038 and 57057 is 19.

Also check out the Least Common Multiple of 57038 and 57057