Greatest Common Factor of 3076 and 3078

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 3076, 3078 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3076 and 3078 is 2.

GCF(3076,3078) = 2

GCF of 3076 and 3078

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

GCF of:
and

Greatest Common Factor of 3076 and 3078

GCF of 3076 and 3078 is 2

Prime Factorization of 3076


2 3076
2 1538
769 769
1

Prime factors of 3076 are 2,769. Prime factorization of 3076 in exponential form is:

3076 = 22×7691

Prime Factorization of 3078


2 3078
3 1539
3 513
3 171
3 57
19 19
1

Prime factors of 3078 are 2,3,19. Prime factorization of 3078 in exponential form is:

3078 = 21×34×191

∴ So by taking common prime factors GCF of 3076 and 3078 is 2

Greatest Common Factor of 3076 and 3078 by matching factors method

Factors of 3076

List of positive integer factors of 3076 that divides 3076 without a remainder.

1,2,4,769,1538,3076

Factors of 3078

List of positive integer factors of 3078 that divides 3078 without a remainder.

1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,342,513,1026,1539,3078

Greatest Common Factor

We found the factors and prime factorization of 3076 and 3078. The biggest common factor number is the GCF number.
So the greatest common factor 3076 and 3078 is 2.

Also check out the Least Common Multiple of 3076 and 3078

Properties of GCF 3076 and 3078

(i) The GCF of 3076 and 3078 is associative

GCF of 3076 and 3078 = GCF of 3078 and 3076

Related Greatest Common Factor of 3076

Related Greatest Common Factor of 3078

Frequently Asked Questions on GCF of 3076 and 3078

1. What is the GCF of 3076 and 3078?

Answer: GCF of 3076 and 3078 is 2.

2. What are the Factors of 3076?

Answer: Factors of 3076 are 1, 2, 4, 769, 1538, 3076. There are 6 integers that are factors of 3076. The greatest factor of 3076 is 3076.

3. What are the Factors of 3078?

Answer: Factors of 3078 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 342, 513, 1026, 1539, 3078. There are 20 integers that are factors of 3078. The greatest factor of 3078 is 3078.

4. How to Find the GCF of 3076 and 3078?

Answer:

Greatest Common Factor of 3076 and 3078 = 2

Step 1: Find the prime factorization of 3076

3076 = 2 x 2 x 769

Step 2: Find the prime factorization of 3078

3078 = 2 x 3 x 3 x 3 x 3 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3076 and 3078 is 2