Greatest Common Factor of 2674 and 2678

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, 2678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2674 and 2678 is 2.

GCF(2674,2678) = 2

GCF of 2674 and 2678

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

GCF of:
and

Greatest Common Factor of 2674 and 2678

GCF of 2674 and 2678 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 2678


2 2678
13 1339
103 103
1

Prime factors of 2678 are 2,13,103. Prime factorization of 2678 in exponential form is:

2678 = 21×131×1031

∴ So by taking common prime factors GCF of 2674 and 2678 is 2

Greatest Common Factor of 2674 and 2678 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 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Greatest Common Factor

We found the factors and prime factorization of 2674 and 2678. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2678 is 2.

Also check out the Least Common Multiple of 2674 and 2678

Properties of GCF 2674 and 2678

(i) The GCF of 2674 and 2678 is associative

GCF of 2674 and 2678 = GCF of 2678 and 2674

Related Greatest Common Factor of 2674

Related Greatest Common Factor of 2678

Frequently Asked Questions on GCF of 2674 and 2678

1. What is the GCF of 2674 and 2678?

Answer: GCF of 2674 and 2678 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 2678?

Answer: Factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678. There are 8 integers that are factors of 2678. The greatest factor of 2678 is 2678.

4. How to Find the GCF of 2674 and 2678?

Answer:

Greatest Common Factor of 2674 and 2678 = 2

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2678

2678 = 2 x 13 x 103

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 2678 is 2