Greatest Common Factor of 6674 and 6678

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, 6678 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6674 and 6678 is 2.

GCF(6674,6678) = 2

GCF of 6674 and 6678

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

GCF of:
and

Greatest Common Factor of 6674 and 6678

GCF of 6674 and 6678 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 6678


2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 6678 are 2,3,7,53. Prime factorization of 6678 in exponential form is:

6678 = 21×32×71×531

∴ So by taking common prime factors GCF of 6674 and 6678 is 2

Greatest Common Factor of 6674 and 6678 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 6678

List of positive integer factors of 6678 that divides 6678 without a remainder.

1,2,3,6,7,9,14,18,21,42,53,63,106,126,159,318,371,477,742,954,1113,2226,3339,6678

Greatest Common Factor

We found the factors and prime factorization of 6674 and 6678. The biggest common factor number is the GCF number.
So the greatest common factor 6674 and 6678 is 2.

Also check out the Least Common Multiple of 6674 and 6678

Properties of GCF 6674 and 6678

(i) The GCF of 6674 and 6678 is associative

GCF of 6674 and 6678 = GCF of 6678 and 6674

Related Greatest Common Factor of 6674

Related Greatest Common Factor of 6678

Frequently Asked Questions on GCF of 6674 and 6678

1. What is the GCF of 6674 and 6678?

Answer: GCF of 6674 and 6678 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 6678?

Answer: Factors of 6678 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 53, 63, 106, 126, 159, 318, 371, 477, 742, 954, 1113, 2226, 3339, 6678. There are 24 integers that are factors of 6678. The greatest factor of 6678 is 6678.

4. How to Find the GCF of 6674 and 6678?

Answer:

Greatest Common Factor of 6674 and 6678 = 2

Step 1: Find the prime factorization of 6674

6674 = 2 x 47 x 71

Step 2: Find the prime factorization of 6678

6678 = 2 x 3 x 3 x 7 x 53

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 6678 is 2