What is the Greatest Common Factor of 57051 and 57066?

Greatest common factor (GCF) of 57051 and 57066 is 3.

GCF(57051,57066) = 3

We will now calculate the prime factors of 57051 and 57066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57051 and 57066.

How to find the GCF of 57051 and 57066?

We will first find the prime factorization of 57051 and 57066. After we will calculate the factors of 57051 and 57066 and find the biggest common factor number .

Step-1: Prime Factorization of 57051

Prime factors of 57051 are 3, 2113. Prime factorization of 57051 in exponential form is:

57051 = 3³ × 2113¹

Step-2: Prime Factorization of 57066

Prime factors of 57066 are 2, 3, 9511. Prime factorization of 57066 in exponential form is:

57066 = 2¹ × 3¹ × 9511¹

Step-3: Factors of 57051

List of positive integer factors of 57051 that divides 57051 without a remainder.

1, 3, 9, 27, 2113, 6339, 19017

Step-4: Factors of 57066

List of positive integer factors of 57066 that divides 57051 without a remainder.

1, 2, 3, 6, 9511, 19022, 28533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57051 and 57066. The biggest common factor number is the GCF number.
So the greatest common factor 57051 and 57066 is 3.

Also check out the Least Common Multiple of 57051 and 57066