Greatest Common Factor of 2676 and 2684

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, 2684 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2676 and 2684 is 4.

GCF(2676,2684) = 4

GCF of 2676 and 2684

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

GCF of:
and

Greatest Common Factor of 2676 and 2684

GCF of 2676 and 2684 is 4

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 2684


2 2684
2 1342
11 671
61 61
1

Prime factors of 2684 are 2,11,61. Prime factorization of 2684 in exponential form is:

2684 = 22×111×611

∴ So by taking common prime factors GCF of 2676 and 2684 is 4

Greatest Common Factor of 2676 and 2684 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 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1,2,4,11,22,44,61,122,244,671,1342,2684

Greatest Common Factor

We found the factors and prime factorization of 2676 and 2684. The biggest common factor number is the GCF number.
So the greatest common factor 2676 and 2684 is 4.

Also check out the Least Common Multiple of 2676 and 2684

Properties of GCF 2676 and 2684

(i) The GCF of 2676 and 2684 is associative

GCF of 2676 and 2684 = GCF of 2684 and 2676

Related Greatest Common Factor of 2676

Related Greatest Common Factor of 2684

Frequently Asked Questions on GCF of 2676 and 2684

1. What is the GCF of 2676 and 2684?

Answer: GCF of 2676 and 2684 is 4.

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 2684?

Answer: Factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684. There are 12 integers that are factors of 2684. The greatest factor of 2684 is 2684.

4. How to Find the GCF of 2676 and 2684?

Answer:

Greatest Common Factor of 2676 and 2684 = 4

Step 1: Find the prime factorization of 2676

2676 = 2 x 2 x 3 x 223

Step 2: Find the prime factorization of 2684

2684 = 2 x 2 x 11 x 61

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2676 and 2684 is 4