Greatest Common Factor of 3051 and 3057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3051, 3057 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3051 and 3057 is 3.

GCF(3051,3057) = 3

GCF of 3051 and 3057

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3051 and 3057

GCF of 3051 and 3057 is 3

Prime Factorization of 3051


3 3051
3 1017
3 339
113 113
1

Prime factors of 3051 are 3,113. Prime factorization of 3051 in exponential form is:

3051 = 33×1131

Prime Factorization of 3057


3 3057
1019 1019
1

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

3057 = 31×10191

∴ So by taking common prime factors GCF of 3051 and 3057 is 3

Greatest Common Factor of 3051 and 3057 by matching factors method

Factors of 3051

List of positive integer factors of 3051 that divides 3051 without a remainder.

1,3,9,27,113,339,1017,3051

Factors of 3057

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

1,3,1019,3057

Greatest Common Factor

We found the factors and prime factorization of 3051 and 3057. The biggest common factor number is the GCF number.
So the greatest common factor 3051 and 3057 is 3.

Also check out the Least Common Multiple of 3051 and 3057

Properties of GCF 3051 and 3057

(i) The GCF of 3051 and 3057 is associative

GCF of 3051 and 3057 = GCF of 3057 and 3051

Related Greatest Common Factor of 3051

Related Greatest Common Factor of 3057

Frequently Asked Questions on GCF of 3051 and 3057

1. What is the GCF of 3051 and 3057?

Answer: GCF of 3051 and 3057 is 3.

2. What are the Factors of 3051?

Answer: Factors of 3051 are 1, 3, 9, 27, 113, 339, 1017, 3051. There are 8 integers that are factors of 3051. The greatest factor of 3051 is 3051.

3. What are the Factors of 3057?

Answer: Factors of 3057 are 1, 3, 1019, 3057. There are 4 integers that are factors of 3057. The greatest factor of 3057 is 3057.

4. How to Find the GCF of 3051 and 3057?

Answer:

Greatest Common Factor of 3051 and 3057 = 3

Step 1: Find the prime factorization of 3051

3051 = 3 x 3 x 3 x 113

Step 2: Find the prime factorization of 3057

3057 = 3 x 1019

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 3051 and 3057 is 3