Greatest Common Factor of 7664 and 7670

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, 7670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7664 and 7670 is 2.

GCF(7664,7670) = 2

GCF of 7664 and 7670

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

GCF of:
and

Greatest Common Factor of 7664 and 7670

GCF of 7664 and 7670 is 2

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 7670


2 7670
5 3835
13 767
59 59
1

Prime factors of 7670 are 2,5,13,59. Prime factorization of 7670 in exponential form is:

7670 = 21×51×131×591

∴ So by taking common prime factors GCF of 7664 and 7670 is 2

Greatest Common Factor of 7664 and 7670 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 7670

List of positive integer factors of 7670 that divides 7670 without a remainder.

1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670

Greatest Common Factor

We found the factors and prime factorization of 7664 and 7670. The biggest common factor number is the GCF number.
So the greatest common factor 7664 and 7670 is 2.

Also check out the Least Common Multiple of 7664 and 7670

Properties of GCF 7664 and 7670

(i) The GCF of 7664 and 7670 is associative

GCF of 7664 and 7670 = GCF of 7670 and 7664

Related Greatest Common Factor of 7664

Related Greatest Common Factor of 7670

Frequently Asked Questions on GCF of 7664 and 7670

1. What is the GCF of 7664 and 7670?

Answer: GCF of 7664 and 7670 is 2.

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 7670?

Answer: Factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670. There are 16 integers that are factors of 7670. The greatest factor of 7670 is 7670.

4. How to Find the GCF of 7664 and 7670?

Answer:

Greatest Common Factor of 7664 and 7670 = 2

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 7670

7670 = 2 x 5 x 13 x 59

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 7664 and 7670 is 2