Greatest Common Factor of 2676 and 2679

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 2676, 2679 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2676 and 2679 is 3.

GCF(2676,2679) = 3

GCF of 2676 and 2679

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

GCF of:
and

Greatest Common Factor of 2676 and 2679

GCF of 2676 and 2679 is 3

Prime Factorization of 2676


2 2676
2 1338
3 669
223 223
1

Prime factors of 2676 are 2,3,223. Prime factorization of 2676 in exponential form is:

2676 = 22×31×2231

Prime Factorization of 2679


3 2679
19 893
47 47
1

Prime factors of 2679 are 3,19,47. Prime factorization of 2679 in exponential form is:

2679 = 31×191×471

∴ So by taking common prime factors GCF of 2676 and 2679 is 3

Greatest Common Factor of 2676 and 2679 by matching factors method

Factors of 2676

List of positive integer factors of 2676 that divides 2676 without a remainder.

1,2,3,4,6,12,223,446,669,892,1338,2676

Factors of 2679

List of positive integer factors of 2679 that divides 2679 without a remainder.

1,3,19,47,57,141,893,2679

Greatest Common Factor

We found the factors and prime factorization of 2676 and 2679. The biggest common factor number is the GCF number.
So the greatest common factor 2676 and 2679 is 3.

Also check out the Least Common Multiple of 2676 and 2679

Properties of GCF 2676 and 2679

(i) The GCF of 2676 and 2679 is associative

GCF of 2676 and 2679 = GCF of 2679 and 2676

Related Greatest Common Factor of 2676

Related Greatest Common Factor of 2679

Frequently Asked Questions on GCF of 2676 and 2679

1. What is the GCF of 2676 and 2679?

Answer: GCF of 2676 and 2679 is 3.

2. What are the Factors of 2676?

Answer: Factors of 2676 are 1, 2, 3, 4, 6, 12, 223, 446, 669, 892, 1338, 2676. There are 12 integers that are factors of 2676. The greatest factor of 2676 is 2676.

3. What are the Factors of 2679?

Answer: Factors of 2679 are 1, 3, 19, 47, 57, 141, 893, 2679. There are 8 integers that are factors of 2679. The greatest factor of 2679 is 2679.

4. How to Find the GCF of 2676 and 2679?

Answer:

Greatest Common Factor of 2676 and 2679 = 3

Step 1: Find the prime factorization of 2676

2676 = 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 2679

2679 = 3 x 19 x 47

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 2676 and 2679 is 3