Greatest Common Factor of 7664 and 7672

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, 7672 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7664 and 7672 is 8.

GCF(7664,7672) = 8

GCF of 7664 and 7672

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

GCF of:
and

Greatest Common Factor of 7664 and 7672

GCF of 7664 and 7672 is 8

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 7672


2 7672
2 3836
2 1918
7 959
137 137
1

Prime factors of 7672 are 2,7,137. Prime factorization of 7672 in exponential form is:

7672 = 23×71×1371

∴ So by taking common prime factors GCF of 7664 and 7672 is 8

Greatest Common Factor of 7664 and 7672 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 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1,2,4,7,8,14,28,56,137,274,548,959,1096,1918,3836,7672

Greatest Common Factor

We found the factors and prime factorization of 7664 and 7672. The biggest common factor number is the GCF number.
So the greatest common factor 7664 and 7672 is 8.

Also check out the Least Common Multiple of 7664 and 7672

Properties of GCF 7664 and 7672

(i) The GCF of 7664 and 7672 is associative

GCF of 7664 and 7672 = GCF of 7672 and 7664

Related Greatest Common Factor of 7664

Related Greatest Common Factor of 7672

Frequently Asked Questions on GCF of 7664 and 7672

1. What is the GCF of 7664 and 7672?

Answer: GCF of 7664 and 7672 is 8.

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 7672?

Answer: Factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672. There are 16 integers that are factors of 7672. The greatest factor of 7672 is 7672.

4. How to Find the GCF of 7664 and 7672?

Answer:

Greatest Common Factor of 7664 and 7672 = 8

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 7672

7672 = 2 x 2 x 2 x 7 x 137

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7664 and 7672 is 8