Greatest Common Factor of 2674 and 2676

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 2674, 2676 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2674 and 2676 is 2.

GCF(2674,2676) = 2

GCF of 2674 and 2676

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

GCF of:
and

Greatest Common Factor of 2674 and 2676

GCF of 2674 and 2676 is 2

Prime Factorization of 2674


2 2674
7 1337
191 191
1

Prime factors of 2674 are 2,7,191. Prime factorization of 2674 in exponential form is:

2674 = 21×71×1911

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

∴ So by taking common prime factors GCF of 2674 and 2676 is 2

Greatest Common Factor of 2674 and 2676 by matching factors method

Factors of 2674

List of positive integer factors of 2674 that divides 2674 without a remainder.

1,2,7,14,191,382,1337,2674

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

Greatest Common Factor

We found the factors and prime factorization of 2674 and 2676. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2676 is 2.

Also check out the Least Common Multiple of 2674 and 2676

Properties of GCF 2674 and 2676

(i) The GCF of 2674 and 2676 is associative

GCF of 2674 and 2676 = GCF of 2676 and 2674

Related Greatest Common Factor of 2674

Related Greatest Common Factor of 2676

Frequently Asked Questions on GCF of 2674 and 2676

1. What is the GCF of 2674 and 2676?

Answer: GCF of 2674 and 2676 is 2.

2. What are the Factors of 2674?

Answer: Factors of 2674 are 1, 2, 7, 14, 191, 382, 1337, 2674. There are 8 integers that are factors of 2674. The greatest factor of 2674 is 2674.

3. 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.

4. How to Find the GCF of 2674 and 2676?

Answer:

Greatest Common Factor of 2674 and 2676 = 2

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2676

2676 = 2 x 2 x 3 x 223

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 2674 and 2676 is 2