Greatest Common Factor of 2674 and 2682

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, 2682 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2674 and 2682 is 2.

GCF(2674,2682) = 2

GCF of 2674 and 2682

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

GCF of:
and

Greatest Common Factor of 2674 and 2682

GCF of 2674 and 2682 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 2682


2 2682
3 1341
3 447
149 149
1

Prime factors of 2682 are 2,3,149. Prime factorization of 2682 in exponential form is:

2682 = 21×32×1491

∴ So by taking common prime factors GCF of 2674 and 2682 is 2

Greatest Common Factor of 2674 and 2682 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 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1,2,3,6,9,18,149,298,447,894,1341,2682

Greatest Common Factor

We found the factors and prime factorization of 2674 and 2682. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2682 is 2.

Also check out the Least Common Multiple of 2674 and 2682

Properties of GCF 2674 and 2682

(i) The GCF of 2674 and 2682 is associative

GCF of 2674 and 2682 = GCF of 2682 and 2674

Related Greatest Common Factor of 2674

Related Greatest Common Factor of 2682

Frequently Asked Questions on GCF of 2674 and 2682

1. What is the GCF of 2674 and 2682?

Answer: GCF of 2674 and 2682 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 2682?

Answer: Factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682. There are 12 integers that are factors of 2682. The greatest factor of 2682 is 2682.

4. How to Find the GCF of 2674 and 2682?

Answer:

Greatest Common Factor of 2674 and 2682 = 2

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2682

2682 = 2 x 3 x 3 x 149

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 2682 is 2