Greatest Common Factor of 7708 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 7708, 7716 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7708 and 7716 is 4.

GCF(7708,7716) = 4

GCF of 7708 and 7716

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

GCF of:
and

Greatest Common Factor of 7708 and 7716

GCF of 7708 and 7716 is 4

Prime Factorization of 7708


2 7708
2 3854
41 1927
47 47
1

Prime factors of 7708 are 2,41,47. Prime factorization of 7708 in exponential form is:

7708 = 22×411×471

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 7708 and 7716 is 4

Greatest Common Factor of 7708 and 7716 by matching factors method

Factors of 7708

List of positive integer factors of 7708 that divides 7708 without a remainder.

1,2,4,41,47,82,94,164,188,1927,3854,7708

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 7708 and 7716. The biggest common factor number is the GCF number.
So the greatest common factor 7708 and 7716 is 4.

Also check out the Least Common Multiple of 7708 and 7716

Properties of GCF 7708 and 7716

(i) The GCF of 7708 and 7716 is associative

GCF of 7708 and 7716 = GCF of 7716 and 7708

Related Greatest Common Factor of 7708

Related Greatest Common Factor of 7716

Frequently Asked Questions on GCF of 7708 and 7716

1. What is the GCF of 7708 and 7716?

Answer: GCF of 7708 and 7716 is 4.

2. What are the Factors of 7708?

Answer: Factors of 7708 are 1, 2, 4, 41, 47, 82, 94, 164, 188, 1927, 3854, 7708. There are 12 integers that are factors of 7708. The greatest factor of 7708 is 7708.

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 7708 and 7716?

Answer:

Greatest Common Factor of 7708 and 7716 = 4

Step 1: Find the prime factorization of 7708

7708 = 2 x 2 x 41 x 47

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 7708 and 7716 is 4