What is the Greatest Common Factor of 57057 and 57076?

Greatest common factor (GCF) of 57057 and 57076 is 19.

GCF(57057,57076) = 19

We will now calculate the prime factors of 57057 and 57076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57057 and 57076.

How to find the GCF of 57057 and 57076?

We will first find the prime factorization of 57057 and 57076. After we will calculate the factors of 57057 and 57076 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 57076

Prime factors of 57076 are 2, 19, 751. Prime factorization of 57076 in exponential form is:

57076 = 2² × 19¹ × 751¹

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 57076

List of positive integer factors of 57076 that divides 57057 without a remainder.

1, 2, 4, 19, 38, 76, 751, 1502, 3004, 14269, 28538

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57057 and 57076. The biggest common factor number is the GCF number.
So the greatest common factor 57057 and 57076 is 19.

Also check out the Least Common Multiple of 57057 and 57076