Greatest Common Factor of 7683 and 7686

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 7683, 7686 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7683 and 7686 is 3.

GCF(7683,7686) = 3

GCF of 7683 and 7686

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

GCF of:
and

Greatest Common Factor of 7683 and 7686

GCF of 7683 and 7686 is 3

Prime Factorization of 7683


3 7683
13 2561
197 197
1

Prime factors of 7683 are 3,13,197. Prime factorization of 7683 in exponential form is:

7683 = 31×131×1971

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

∴ So by taking common prime factors GCF of 7683 and 7686 is 3

Greatest Common Factor of 7683 and 7686 by matching factors method

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1,3,13,39,197,591,2561,7683

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

Greatest Common Factor

We found the factors and prime factorization of 7683 and 7686. The biggest common factor number is the GCF number.
So the greatest common factor 7683 and 7686 is 3.

Also check out the Least Common Multiple of 7683 and 7686

Properties of GCF 7683 and 7686

(i) The GCF of 7683 and 7686 is associative

GCF of 7683 and 7686 = GCF of 7686 and 7683

Related Greatest Common Factor of 7683

Related Greatest Common Factor of 7686

Frequently Asked Questions on GCF of 7683 and 7686

1. What is the GCF of 7683 and 7686?

Answer: GCF of 7683 and 7686 is 3.

2. What are the Factors of 7683?

Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.

3. 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.

4. How to Find the GCF of 7683 and 7686?

Answer:

Greatest Common Factor of 7683 and 7686 = 3

Step 1: Find the prime factorization of 7683

7683 = 3 x 13 x 197

Step 2: Find the prime factorization of 7686

7686 = 2 x 3 x 3 x 7 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7683 and 7686 is 3