Greatest Common Factor of 2674 and 2675

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, 2675 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2674 and 2675 is 1.

GCF(2674,2675) = 1

GCF of 2674 and 2675

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

GCF of:
and

Greatest Common Factor of 2674 and 2675

GCF of 2674 and 2675 is 1

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 2675


5 2675
5 535
107 107
1

Prime factors of 2675 are 5,107. Prime factorization of 2675 in exponential form is:

2675 = 52×1071

∴ So by taking common prime factors GCF of 2674 and 2675 is 1

Greatest Common Factor of 2674 and 2675 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 2675

List of positive integer factors of 2675 that divides 2675 without a remainder.

1,5,25,107,535,2675

Greatest Common Factor

We found the factors and prime factorization of 2674 and 2675. The biggest common factor number is the GCF number.
So the greatest common factor 2674 and 2675 is 1.

Also check out the Least Common Multiple of 2674 and 2675

Properties of GCF 2674 and 2675

(i) The GCF of 2674 and 2675 is associative

GCF of 2674 and 2675 = GCF of 2675 and 2674

Related Greatest Common Factor of 2674

Related Greatest Common Factor of 2675

Frequently Asked Questions on GCF of 2674 and 2675

1. What is the GCF of 2674 and 2675?

Answer: GCF of 2674 and 2675 is 1.

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 2675?

Answer: Factors of 2675 are 1, 5, 25, 107, 535, 2675. There are 6 integers that are factors of 2675. The greatest factor of 2675 is 2675.

4. How to Find the GCF of 2674 and 2675?

Answer:

Greatest Common Factor of 2674 and 2675 = 1

Step 1: Find the prime factorization of 2674

2674 = 2 x 7 x 191

Step 2: Find the prime factorization of 2675

2675 = 5 x 5 x 107

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2674 and 2675 is 1