Greatest Common Factor of 2670 and 2674

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 2670, 2674 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2670 and 2674 is 2.

GCF(2670,2674) = 2

GCF of 2670 and 2674

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

GCF of:
and

Greatest Common Factor of 2670 and 2674

GCF of 2670 and 2674 is 2

Prime Factorization of 2670


2 2670
3 1335
5 445
89 89
1

Prime factors of 2670 are 2,3,5,89. Prime factorization of 2670 in exponential form is:

2670 = 21×31×51×891

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

∴ So by taking common prime factors GCF of 2670 and 2674 is 2

Greatest Common Factor of 2670 and 2674 by matching factors method

Factors of 2670

List of positive integer factors of 2670 that divides 2670 without a remainder.

1,2,3,5,6,10,15,30,89,178,267,445,534,890,1335,2670

Factors of 2674

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

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

Greatest Common Factor

We found the factors and prime factorization of 2670 and 2674. The biggest common factor number is the GCF number.
So the greatest common factor 2670 and 2674 is 2.

Also check out the Least Common Multiple of 2670 and 2674

Properties of GCF 2670 and 2674

(i) The GCF of 2670 and 2674 is associative

GCF of 2670 and 2674 = GCF of 2674 and 2670

Related Greatest Common Factor of 2670

Related Greatest Common Factor of 2674

Frequently Asked Questions on GCF of 2670 and 2674

1. What is the GCF of 2670 and 2674?

Answer: GCF of 2670 and 2674 is 2.

2. What are the Factors of 2670?

Answer: Factors of 2670 are 1, 2, 3, 5, 6, 10, 15, 30, 89, 178, 267, 445, 534, 890, 1335, 2670. There are 16 integers that are factors of 2670. The greatest factor of 2670 is 2670.

3. 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.

4. How to Find the GCF of 2670 and 2674?

Answer:

Greatest Common Factor of 2670 and 2674 = 2

Step 1: Find the prime factorization of 2670

2670 = 2 x 3 x 5 x 89

Step 2: Find the prime factorization of 2674

2674 = 2 x 7 x 191

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 2670 and 2674 is 2