Greatest Common Factor of 7688 and 7696

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 7688, 7696 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7688 and 7696 is 8.

GCF(7688,7696) = 8

GCF of 7688 and 7696

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

GCF of:
and

Greatest Common Factor of 7688 and 7696

GCF of 7688 and 7696 is 8

Prime Factorization of 7688


2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 7688 are 2,31. Prime factorization of 7688 in exponential form is:

7688 = 23×312

Prime Factorization of 7696


2 7696
2 3848
2 1924
2 962
13 481
37 37
1

Prime factors of 7696 are 2,13,37. Prime factorization of 7696 in exponential form is:

7696 = 24×131×371

∴ So by taking common prime factors GCF of 7688 and 7696 is 8

Greatest Common Factor of 7688 and 7696 by matching factors method

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Factors of 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Greatest Common Factor

We found the factors and prime factorization of 7688 and 7696. The biggest common factor number is the GCF number.
So the greatest common factor 7688 and 7696 is 8.

Also check out the Least Common Multiple of 7688 and 7696

Properties of GCF 7688 and 7696

(i) The GCF of 7688 and 7696 is associative

GCF of 7688 and 7696 = GCF of 7696 and 7688

Related Greatest Common Factor of 7688

Related Greatest Common Factor of 7696

Frequently Asked Questions on GCF of 7688 and 7696

1. What is the GCF of 7688 and 7696?

Answer: GCF of 7688 and 7696 is 8.

2. What are the Factors of 7688?

Answer: Factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688. There are 12 integers that are factors of 7688. The greatest factor of 7688 is 7688.

3. What are the Factors of 7696?

Answer: Factors of 7696 are 1, 2, 4, 8, 13, 16, 26, 37, 52, 74, 104, 148, 208, 296, 481, 592, 962, 1924, 3848, 7696. There are 20 integers that are factors of 7696. The greatest factor of 7696 is 7696.

4. How to Find the GCF of 7688 and 7696?

Answer:

Greatest Common Factor of 7688 and 7696 = 8

Step 1: Find the prime factorization of 7688

7688 = 2 x 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 7696

7696 = 2 x 2 x 2 x 2 x 13 x 37

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 7688 and 7696 is 8