Greatest Common Factor of 7716 and 7724

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 7716, 7724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7716 and 7724 is 4.

GCF(7716,7724) = 4

GCF of 7716 and 7724

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

GCF of:
and

Greatest Common Factor of 7716 and 7724

GCF of 7716 and 7724 is 4

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

Prime Factorization of 7724


2 7724
2 3862
1931 1931
1

Prime factors of 7724 are 2,1931. Prime factorization of 7724 in exponential form is:

7724 = 22×19311

∴ So by taking common prime factors GCF of 7716 and 7724 is 4

Greatest Common Factor of 7716 and 7724 by matching factors method

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

Factors of 7724

List of positive integer factors of 7724 that divides 7724 without a remainder.

1,2,4,1931,3862,7724

Greatest Common Factor

We found the factors and prime factorization of 7716 and 7724. The biggest common factor number is the GCF number.
So the greatest common factor 7716 and 7724 is 4.

Also check out the Least Common Multiple of 7716 and 7724

Properties of GCF 7716 and 7724

(i) The GCF of 7716 and 7724 is associative

GCF of 7716 and 7724 = GCF of 7724 and 7716

Related Greatest Common Factor of 7716

Related Greatest Common Factor of 7724

Frequently Asked Questions on GCF of 7716 and 7724

1. What is the GCF of 7716 and 7724?

Answer: GCF of 7716 and 7724 is 4.

2. 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.

3. What are the Factors of 7724?

Answer: Factors of 7724 are 1, 2, 4, 1931, 3862, 7724. There are 6 integers that are factors of 7724. The greatest factor of 7724 is 7724.

4. How to Find the GCF of 7716 and 7724?

Answer:

Greatest Common Factor of 7716 and 7724 = 4

Step 1: Find the prime factorization of 7716

7716 = 2 x 2 x 3 x 643

Step 2: Find the prime factorization of 7724

7724 = 2 x 2 x 1931

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7716 and 7724 is 4