Greatest Common Factor of 7664 and 7667

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, 7667 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7664 and 7667 is 1.

GCF(7664,7667) = 1

GCF of 7664 and 7667

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

GCF of:
and

Greatest Common Factor of 7664 and 7667

GCF of 7664 and 7667 is 1

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 7667


11 7667
17 697
41 41
1

Prime factors of 7667 are 11,17,41. Prime factorization of 7667 in exponential form is:

7667 = 111×171×411

∴ So by taking common prime factors GCF of 7664 and 7667 is 1

Greatest Common Factor of 7664 and 7667 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 7667

List of positive integer factors of 7667 that divides 7667 without a remainder.

1,11,17,41,187,451,697,7667

Greatest Common Factor

We found the factors and prime factorization of 7664 and 7667. The biggest common factor number is the GCF number.
So the greatest common factor 7664 and 7667 is 1.

Also check out the Least Common Multiple of 7664 and 7667

Properties of GCF 7664 and 7667

(i) The GCF of 7664 and 7667 is associative

GCF of 7664 and 7667 = GCF of 7667 and 7664

Related Greatest Common Factor of 7664

Related Greatest Common Factor of 7667

Frequently Asked Questions on GCF of 7664 and 7667

1. What is the GCF of 7664 and 7667?

Answer: GCF of 7664 and 7667 is 1.

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 7667?

Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.

4. How to Find the GCF of 7664 and 7667?

Answer:

Greatest Common Factor of 7664 and 7667 = 1

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 7667

7667 = 11 x 17 x 41

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7664 and 7667 is 1