Greatest Common Factor of 7688 and 7692

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, 7692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7688 and 7692 is 4.

GCF(7688,7692) = 4

GCF of 7688 and 7692

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

GCF of:
and

Greatest Common Factor of 7688 and 7692

GCF of 7688 and 7692 is 4

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 7692


2 7692
2 3846
3 1923
641 641
1

Prime factors of 7692 are 2,3,641. Prime factorization of 7692 in exponential form is:

7692 = 22×31×6411

∴ So by taking common prime factors GCF of 7688 and 7692 is 4

Greatest Common Factor of 7688 and 7692 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 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Greatest Common Factor

We found the factors and prime factorization of 7688 and 7692. The biggest common factor number is the GCF number.
So the greatest common factor 7688 and 7692 is 4.

Also check out the Least Common Multiple of 7688 and 7692

Properties of GCF 7688 and 7692

(i) The GCF of 7688 and 7692 is associative

GCF of 7688 and 7692 = GCF of 7692 and 7688

Related Greatest Common Factor of 7688

Related Greatest Common Factor of 7692

Frequently Asked Questions on GCF of 7688 and 7692

1. What is the GCF of 7688 and 7692?

Answer: GCF of 7688 and 7692 is 4.

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 7692?

Answer: Factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692. There are 12 integers that are factors of 7692. The greatest factor of 7692 is 7692.

4. How to Find the GCF of 7688 and 7692?

Answer:

Greatest Common Factor of 7688 and 7692 = 4

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 7692

7692 = 2 x 2 x 3 x 641

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 7688 and 7692 is 4