Greatest Common Factor of 7686 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 7686, 7692 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7686 and 7692 is 6.

GCF(7686,7692) = 6

GCF of 7686 and 7692

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

GCF of:
and

Greatest Common Factor of 7686 and 7692

GCF of 7686 and 7692 is 6

Prime Factorization of 7686


2 7686
3 3843
3 1281
7 427
61 61
1

Prime factors of 7686 are 2,3,7,61. Prime factorization of 7686 in exponential form is:

7686 = 21×32×71×611

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 7686 and 7692 is 6

Greatest Common Factor of 7686 and 7692 by matching factors method

Factors of 7686

List of positive integer factors of 7686 that divides 7686 without a remainder.

1,2,3,6,7,9,14,18,21,42,61,63,122,126,183,366,427,549,854,1098,1281,2562,3843,7686

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 7686 and 7692. The biggest common factor number is the GCF number.
So the greatest common factor 7686 and 7692 is 6.

Also check out the Least Common Multiple of 7686 and 7692

Properties of GCF 7686 and 7692

(i) The GCF of 7686 and 7692 is associative

GCF of 7686 and 7692 = GCF of 7692 and 7686

Related Greatest Common Factor of 7686

Related Greatest Common Factor of 7692

Frequently Asked Questions on GCF of 7686 and 7692

1. What is the GCF of 7686 and 7692?

Answer: GCF of 7686 and 7692 is 6.

2. What are the Factors of 7686?

Answer: Factors of 7686 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686. There are 24 integers that are factors of 7686. The greatest factor of 7686 is 7686.

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 7686 and 7692?

Answer:

Greatest Common Factor of 7686 and 7692 = 6

Step 1: Find the prime factorization of 7686

7686 = 2 x 3 x 3 x 7 x 61

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 3 = 6

Step 4: Therefore, the greatest common factor of 7686 and 7692 is 6