Greatest Common Factor of 7668 and 7674

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 7668, 7674 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7668 and 7674 is 6.

GCF(7668,7674) = 6

GCF of 7668 and 7674

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

GCF of:
and

Greatest Common Factor of 7668 and 7674

GCF of 7668 and 7674 is 6

Prime Factorization of 7668


2 7668
2 3834
3 1917
3 639
3 213
71 71
1

Prime factors of 7668 are 2,3,71. Prime factorization of 7668 in exponential form is:

7668 = 22×33×711

Prime Factorization of 7674


2 7674
3 3837
1279 1279
1

Prime factors of 7674 are 2,3,1279. Prime factorization of 7674 in exponential form is:

7674 = 21×31×12791

∴ So by taking common prime factors GCF of 7668 and 7674 is 6

Greatest Common Factor of 7668 and 7674 by matching factors method

Factors of 7668

List of positive integer factors of 7668 that divides 7668 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668

Factors of 7674

List of positive integer factors of 7674 that divides 7674 without a remainder.

1,2,3,6,1279,2558,3837,7674

Greatest Common Factor

We found the factors and prime factorization of 7668 and 7674. The biggest common factor number is the GCF number.
So the greatest common factor 7668 and 7674 is 6.

Also check out the Least Common Multiple of 7668 and 7674

Properties of GCF 7668 and 7674

(i) The GCF of 7668 and 7674 is associative

GCF of 7668 and 7674 = GCF of 7674 and 7668

Related Greatest Common Factor of 7668

Related Greatest Common Factor of 7674

Frequently Asked Questions on GCF of 7668 and 7674

1. What is the GCF of 7668 and 7674?

Answer: GCF of 7668 and 7674 is 6.

2. What are the Factors of 7668?

Answer: Factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668. There are 24 integers that are factors of 7668. The greatest factor of 7668 is 7668.

3. What are the Factors of 7674?

Answer: Factors of 7674 are 1, 2, 3, 6, 1279, 2558, 3837, 7674. There are 8 integers that are factors of 7674. The greatest factor of 7674 is 7674.

4. How to Find the GCF of 7668 and 7674?

Answer:

Greatest Common Factor of 7668 and 7674 = 6

Step 1: Find the prime factorization of 7668

7668 = 2 x 2 x 3 x 3 x 3 x 71

Step 2: Find the prime factorization of 7674

7674 = 2 x 3 x 1279

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7668 and 7674 is 6