Greatest Common Factor of 7664 and 7668

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 7664, 7668 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7664 and 7668 is 4.

GCF(7664,7668) = 4

GCF of 7664 and 7668

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

GCF of:
and

Greatest Common Factor of 7664 and 7668

GCF of 7664 and 7668 is 4

Prime Factorization of 7664


2 7664
2 3832
2 1916
2 958
479 479
1

Prime factors of 7664 are 2,479. Prime factorization of 7664 in exponential form is:

7664 = 24×4791

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

∴ So by taking common prime factors GCF of 7664 and 7668 is 4

Greatest Common Factor of 7664 and 7668 by matching factors method

Factors of 7664

List of positive integer factors of 7664 that divides 7664 without a remainder.

1,2,4,8,16,479,958,1916,3832,7664

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

Greatest Common Factor

We found the factors and prime factorization of 7664 and 7668. The biggest common factor number is the GCF number.
So the greatest common factor 7664 and 7668 is 4.

Also check out the Least Common Multiple of 7664 and 7668

Properties of GCF 7664 and 7668

(i) The GCF of 7664 and 7668 is associative

GCF of 7664 and 7668 = GCF of 7668 and 7664

Related Greatest Common Factor of 7664

Related Greatest Common Factor of 7668

Frequently Asked Questions on GCF of 7664 and 7668

1. What is the GCF of 7664 and 7668?

Answer: GCF of 7664 and 7668 is 4.

2. What are the Factors of 7664?

Answer: Factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664. There are 10 integers that are factors of 7664. The greatest factor of 7664 is 7664.

3. 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.

4. How to Find the GCF of 7664 and 7668?

Answer:

Greatest Common Factor of 7664 and 7668 = 4

Step 1: Find the prime factorization of 7664

7664 = 2 x 2 x 2 x 2 x 479

Step 2: Find the prime factorization of 7668

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7664 and 7668 is 4