Greatest Common Factor of 674 and 676

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 674, 676 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 674 and 676 is 2.

GCF(674,676) = 2

GCF of 674 and 676

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

GCF of:
and

Greatest Common Factor of 674 and 676

GCF of 674 and 676 is 2

Prime Factorization of 674


2 674
337 337
1

Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:

674 = 21×3371

Prime Factorization of 676


2 676
2 338
13 169
13 13
1

Prime factors of 676 are 2,13. Prime factorization of 676 in exponential form is:

676 = 22×132

∴ So by taking common prime factors GCF of 674 and 676 is 2

Greatest Common Factor of 674 and 676 by matching factors method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors and prime factorization of 674 and 676. The biggest common factor number is the GCF number.
So the greatest common factor 674 and 676 is 2.

Also check out the Least Common Multiple of 674 and 676

Properties of GCF 674 and 676

(i) The GCF of 674 and 676 is associative

GCF of 674 and 676 = GCF of 676 and 674

Related Greatest Common Factor of 674

Related Greatest Common Factor of 676

Frequently Asked Questions on GCF of 674 and 676

1. What is the GCF of 674 and 676?

Answer: GCF of 674 and 676 is 2.

2. What are the Factors of 674?

Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.

3. What are the Factors of 676?

Answer: Factors of 676 are 1, 2, 4, 13, 26, 52, 169, 338, 676. There are 9 integers that are factors of 676. The greatest factor of 676 is 676.

4. How to Find the GCF of 674 and 676?

Answer:

Greatest Common Factor of 674 and 676 = 2

Step 1: Find the prime factorization of 674

674 = 2 x 337

Step 2: Find the prime factorization of 676

676 = 2 x 2 x 13 x 13

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 674 and 676 is 2