What is the Greatest Common Factor of 3039 and 3057?

Greatest common factor (GCF) of 3039 and 3057 is 3.

GCF(3039,3057) = 3

We will now calculate the prime factors of 3039 and 3057, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3039 and 3057.

How to find the GCF of 3039 and 3057?

We will first find the prime factorization of 3039 and 3057. After we will calculate the factors of 3039 and 3057 and find the biggest common factor number .

Step-1: Prime Factorization of 3039

Prime factors of 3039 are 3, 1013. Prime factorization of 3039 in exponential form is:

3039 = 3¹ × 1013¹

Step-2: Prime Factorization of 3057

Prime factors of 3057 are 3, 1019. Prime factorization of 3057 in exponential form is:

3057 = 3¹ × 1019¹

Step-3: Factors of 3039

List of positive integer factors of 3039 that divides 3039 without a remainder.

1, 3, 1013

Step-4: Factors of 3057

List of positive integer factors of 3057 that divides 3039 without a remainder.

1, 3, 1019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3039 and 3057. The biggest common factor number is the GCF number.
So the greatest common factor 3039 and 3057 is 3.

Also check out the Least Common Multiple of 3039 and 3057