Greatest Common Factor of 8716 and 8724

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 8716, 8724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8716 and 8724 is 4.

GCF(8716,8724) = 4

GCF of 8716 and 8724

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

GCF of:
and

Greatest Common Factor of 8716 and 8724

GCF of 8716 and 8724 is 4

Prime Factorization of 8716


2 8716
2 4358
2179 2179
1

Prime factors of 8716 are 2,2179. Prime factorization of 8716 in exponential form is:

8716 = 22×21791

Prime Factorization of 8724


2 8724
2 4362
3 2181
727 727
1

Prime factors of 8724 are 2,3,727. Prime factorization of 8724 in exponential form is:

8724 = 22×31×7271

∴ So by taking common prime factors GCF of 8716 and 8724 is 4

Greatest Common Factor of 8716 and 8724 by matching factors method

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1,2,3,4,6,12,727,1454,2181,2908,4362,8724

Greatest Common Factor

We found the factors and prime factorization of 8716 and 8724. The biggest common factor number is the GCF number.
So the greatest common factor 8716 and 8724 is 4.

Also check out the Least Common Multiple of 8716 and 8724

Properties of GCF 8716 and 8724

(i) The GCF of 8716 and 8724 is associative

GCF of 8716 and 8724 = GCF of 8724 and 8716

Related Greatest Common Factor of 8716

Related Greatest Common Factor of 8724

Frequently Asked Questions on GCF of 8716 and 8724

1. What is the GCF of 8716 and 8724?

Answer: GCF of 8716 and 8724 is 4.

2. What are the Factors of 8716?

Answer: Factors of 8716 are 1, 2, 4, 2179, 4358, 8716. There are 6 integers that are factors of 8716. The greatest factor of 8716 is 8716.

3. What are the Factors of 8724?

Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.

4. How to Find the GCF of 8716 and 8724?

Answer:

Greatest Common Factor of 8716 and 8724 = 4

Step 1: Find the prime factorization of 8716

8716 = 2 x 2 x 2179

Step 2: Find the prime factorization of 8724

8724 = 2 x 2 x 3 x 727

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 8716 and 8724 is 4