Greatest Common Factor of 6674 and 6680

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 6674, 6680 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6674 and 6680 is 2.

GCF(6674,6680) = 2

GCF of 6674 and 6680

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

GCF of:
and

Greatest Common Factor of 6674 and 6680

GCF of 6674 and 6680 is 2

Prime Factorization of 6674


2 6674
47 3337
71 71
1

Prime factors of 6674 are 2,47,71. Prime factorization of 6674 in exponential form is:

6674 = 21×471×711

Prime Factorization of 6680


2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 6680 are 2,5,167. Prime factorization of 6680 in exponential form is:

6680 = 23×51×1671

∴ So by taking common prime factors GCF of 6674 and 6680 is 2

Greatest Common Factor of 6674 and 6680 by matching factors method

Factors of 6674

List of positive integer factors of 6674 that divides 6674 without a remainder.

1,2,47,71,94,142,3337,6674

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680

Greatest Common Factor

We found the factors and prime factorization of 6674 and 6680. The biggest common factor number is the GCF number.
So the greatest common factor 6674 and 6680 is 2.

Also check out the Least Common Multiple of 6674 and 6680

Properties of GCF 6674 and 6680

(i) The GCF of 6674 and 6680 is associative

GCF of 6674 and 6680 = GCF of 6680 and 6674

Related Greatest Common Factor of 6674

Related Greatest Common Factor of 6680

Frequently Asked Questions on GCF of 6674 and 6680

1. What is the GCF of 6674 and 6680?

Answer: GCF of 6674 and 6680 is 2.

2. What are the Factors of 6674?

Answer: Factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674. There are 8 integers that are factors of 6674. The greatest factor of 6674 is 6674.

3. What are the Factors of 6680?

Answer: Factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680. There are 16 integers that are factors of 6680. The greatest factor of 6680 is 6680.

4. How to Find the GCF of 6674 and 6680?

Answer:

Greatest Common Factor of 6674 and 6680 = 2

Step 1: Find the prime factorization of 6674

6674 = 2 x 47 x 71

Step 2: Find the prime factorization of 6680

6680 = 2 x 2 x 2 x 5 x 167

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 6674 and 6680 is 2