Greatest Common Factor of 7692 and 7698

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 7692, 7698 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7692 and 7698 is 6.

GCF(7692,7698) = 6

GCF of 7692 and 7698

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

GCF of:
and

Greatest Common Factor of 7692 and 7698

GCF of 7692 and 7698 is 6

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

Prime Factorization of 7698


2 7698
3 3849
1283 1283
1

Prime factors of 7698 are 2,3,1283. Prime factorization of 7698 in exponential form is:

7698 = 21×31×12831

∴ So by taking common prime factors GCF of 7692 and 7698 is 6

Greatest Common Factor of 7692 and 7698 by matching factors method

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

Factors of 7698

List of positive integer factors of 7698 that divides 7698 without a remainder.

1,2,3,6,1283,2566,3849,7698

Greatest Common Factor

We found the factors and prime factorization of 7692 and 7698. The biggest common factor number is the GCF number.
So the greatest common factor 7692 and 7698 is 6.

Also check out the Least Common Multiple of 7692 and 7698

Properties of GCF 7692 and 7698

(i) The GCF of 7692 and 7698 is associative

GCF of 7692 and 7698 = GCF of 7698 and 7692

Related Greatest Common Factor of 7692

Related Greatest Common Factor of 7698

Frequently Asked Questions on GCF of 7692 and 7698

1. What is the GCF of 7692 and 7698?

Answer: GCF of 7692 and 7698 is 6.

2. 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.

3. What are the Factors of 7698?

Answer: Factors of 7698 are 1, 2, 3, 6, 1283, 2566, 3849, 7698. There are 8 integers that are factors of 7698. The greatest factor of 7698 is 7698.

4. How to Find the GCF of 7692 and 7698?

Answer:

Greatest Common Factor of 7692 and 7698 = 6

Step 1: Find the prime factorization of 7692

7692 = 2 x 2 x 3 x 641

Step 2: Find the prime factorization of 7698

7698 = 2 x 3 x 1283

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7692 and 7698 is 6