What is the Greatest Common Factor of 57039 and 57051?

Greatest common factor (GCF) of 57039 and 57051 is 3.

GCF(57039,57051) = 3

We will now calculate the prime factors of 57039 and 57051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 57039 and 57051.

How to find the GCF of 57039 and 57051?

We will first find the prime factorization of 57039 and 57051. After we will calculate the factors of 57039 and 57051 and find the biggest common factor number .

Step-1: Prime Factorization of 57039

Prime factors of 57039 are 3, 19013. Prime factorization of 57039 in exponential form is:

57039 = 3¹ × 19013¹

Step-2: Prime Factorization of 57051

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

57051 = 3³ × 2113¹

Step-3: Factors of 57039

List of positive integer factors of 57039 that divides 57039 without a remainder.

1, 3, 19013

Step-4: Factors of 57051

List of positive integer factors of 57051 that divides 57039 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 57039 and 57051. The biggest common factor number is the GCF number.
So the greatest common factor 57039 and 57051 is 3.

Also check out the Least Common Multiple of 57039 and 57051