Greatest Common Factor of 7712 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 7712, 7716 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7712 and 7716 is 4.

GCF(7712,7716) = 4

GCF of 7712 and 7716

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

GCF of:
and

Greatest Common Factor of 7712 and 7716

GCF of 7712 and 7716 is 4

Prime Factorization of 7712


2 7712
2 3856
2 1928
2 964
2 482
241 241
1

Prime factors of 7712 are 2,241. Prime factorization of 7712 in exponential form is:

7712 = 25×2411

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 7712 and 7716 is 4

Greatest Common Factor of 7712 and 7716 by matching factors method

Factors of 7712

List of positive integer factors of 7712 that divides 7712 without a remainder.

1,2,4,8,16,32,241,482,964,1928,3856,7712

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 7712 and 7716. The biggest common factor number is the GCF number.
So the greatest common factor 7712 and 7716 is 4.

Also check out the Least Common Multiple of 7712 and 7716

Properties of GCF 7712 and 7716

(i) The GCF of 7712 and 7716 is associative

GCF of 7712 and 7716 = GCF of 7716 and 7712

Related Greatest Common Factor of 7712

Related Greatest Common Factor of 7716

Frequently Asked Questions on GCF of 7712 and 7716

1. What is the GCF of 7712 and 7716?

Answer: GCF of 7712 and 7716 is 4.

2. What are the Factors of 7712?

Answer: Factors of 7712 are 1, 2, 4, 8, 16, 32, 241, 482, 964, 1928, 3856, 7712. There are 12 integers that are factors of 7712. The greatest factor of 7712 is 7712.

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 7712 and 7716?

Answer:

Greatest Common Factor of 7712 and 7716 = 4

Step 1: Find the prime factorization of 7712

7712 = 2 x 2 x 2 x 2 x 2 x 241

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7712 and 7716 is 4