Greatest Common Factor of 7713 and 7716

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 7713, 7716 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7713 and 7716 is 3.

GCF(7713,7716) = 3

GCF of 7713 and 7716

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

GCF of:
and

Greatest Common Factor of 7713 and 7716

GCF of 7713 and 7716 is 3

Prime Factorization of 7713


3 7713
3 2571
857 857
1

Prime factors of 7713 are 3,857. Prime factorization of 7713 in exponential form is:

7713 = 32×8571

Prime Factorization of 7716


2 7716
2 3858
3 1929
643 643
1

Prime factors of 7716 are 2,3,643. Prime factorization of 7716 in exponential form is:

7716 = 22×31×6431

∴ So by taking common prime factors GCF of 7713 and 7716 is 3

Greatest Common Factor of 7713 and 7716 by matching factors method

Factors of 7713

List of positive integer factors of 7713 that divides 7713 without a remainder.

1,3,9,857,2571,7713

Factors of 7716

List of positive integer factors of 7716 that divides 7716 without a remainder.

1,2,3,4,6,12,643,1286,1929,2572,3858,7716

Greatest Common Factor

We found the factors and prime factorization of 7713 and 7716. The biggest common factor number is the GCF number.
So the greatest common factor 7713 and 7716 is 3.

Also check out the Least Common Multiple of 7713 and 7716

Properties of GCF 7713 and 7716

(i) The GCF of 7713 and 7716 is associative

GCF of 7713 and 7716 = GCF of 7716 and 7713

Related Greatest Common Factor of 7713

Related Greatest Common Factor of 7716

Frequently Asked Questions on GCF of 7713 and 7716

1. What is the GCF of 7713 and 7716?

Answer: GCF of 7713 and 7716 is 3.

2. What are the Factors of 7713?

Answer: Factors of 7713 are 1, 3, 9, 857, 2571, 7713. There are 6 integers that are factors of 7713. The greatest factor of 7713 is 7713.

3. What are the Factors of 7716?

Answer: Factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716. There are 12 integers that are factors of 7716. The greatest factor of 7716 is 7716.

4. How to Find the GCF of 7713 and 7716?

Answer:

Greatest Common Factor of 7713 and 7716 = 3

Step 1: Find the prime factorization of 7713

7713 = 3 x 3 x 857

Step 2: Find the prime factorization of 7716

7716 = 2 x 2 x 3 x 643

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 7713 and 7716 is 3