Greatest Common Factor of 7677 and 7683

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 7677, 7683 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7677 and 7683 is 3.

GCF(7677,7683) = 3

GCF of 7677 and 7683

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

GCF of:
and

Greatest Common Factor of 7677 and 7683

GCF of 7677 and 7683 is 3

Prime Factorization of 7677


3 7677
3 2559
853 853
1

Prime factors of 7677 are 3,853. Prime factorization of 7677 in exponential form is:

7677 = 32×8531

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

∴ So by taking common prime factors GCF of 7677 and 7683 is 3

Greatest Common Factor of 7677 and 7683 by matching factors method

Factors of 7677

List of positive integer factors of 7677 that divides 7677 without a remainder.

1,3,9,853,2559,7677

Factors of 7683

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

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

Greatest Common Factor

We found the factors and prime factorization of 7677 and 7683. The biggest common factor number is the GCF number.
So the greatest common factor 7677 and 7683 is 3.

Also check out the Least Common Multiple of 7677 and 7683

Properties of GCF 7677 and 7683

(i) The GCF of 7677 and 7683 is associative

GCF of 7677 and 7683 = GCF of 7683 and 7677

Related Greatest Common Factor of 7677

Related Greatest Common Factor of 7683

Frequently Asked Questions on GCF of 7677 and 7683

1. What is the GCF of 7677 and 7683?

Answer: GCF of 7677 and 7683 is 3.

2. What are the Factors of 7677?

Answer: Factors of 7677 are 1, 3, 9, 853, 2559, 7677. There are 6 integers that are factors of 7677. The greatest factor of 7677 is 7677.

3. 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.

4. How to Find the GCF of 7677 and 7683?

Answer:

Greatest Common Factor of 7677 and 7683 = 3

Step 1: Find the prime factorization of 7677

7677 = 3 x 3 x 853

Step 2: Find the prime factorization of 7683

7683 = 3 x 13 x 197

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 7677 and 7683 is 3