What is the Greatest Common Factor of 57057 and 57068?

Greatest common factor (GCF) of 57057 and 57068 is 11.

GCF(57057,57068) = 11

We will now calculate the prime factors of 57057 and 57068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57057 and 57068.

How to find the GCF of 57057 and 57068?

We will first find the prime factorization of 57057 and 57068. After we will calculate the factors of 57057 and 57068 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 57068

Prime factors of 57068 are 2, 11, 1297. Prime factorization of 57068 in exponential form is:

57068 = 2² × 11¹ × 1297¹

Step-3: Factors of 57057

List of positive integer factors of 57057 that divides 57057 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

Step-4: Factors of 57068

List of positive integer factors of 57068 that divides 57057 without a remainder.

1, 2, 4, 11, 22, 44, 1297, 2594, 5188, 14267, 28534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57057 and 57068. The biggest common factor number is the GCF number.
So the greatest common factor 57057 and 57068 is 11.

Also check out the Least Common Multiple of 57057 and 57068