Greatest Common Factor of 8720 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 8720, 8724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8720 and 8724 is 4.

GCF(8720,8724) = 4

GCF of 8720 and 8724

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

GCF of:
and

Greatest Common Factor of 8720 and 8724

GCF of 8720 and 8724 is 4

Prime Factorization of 8720


2 8720
2 4360
2 2180
2 1090
5 545
109 109
1

Prime factors of 8720 are 2,5,109. Prime factorization of 8720 in exponential form is:

8720 = 24×51×1091

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 8720 and 8724 is 4

Greatest Common Factor of 8720 and 8724 by matching factors method

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

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 8720 and 8724. The biggest common factor number is the GCF number.
So the greatest common factor 8720 and 8724 is 4.

Also check out the Least Common Multiple of 8720 and 8724

Properties of GCF 8720 and 8724

(i) The GCF of 8720 and 8724 is associative

GCF of 8720 and 8724 = GCF of 8724 and 8720

Related Greatest Common Factor of 8720

Related Greatest Common Factor of 8724

Frequently Asked Questions on GCF of 8720 and 8724

1. What is the GCF of 8720 and 8724?

Answer: GCF of 8720 and 8724 is 4.

2. What are the Factors of 8720?

Answer: Factors of 8720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 109, 218, 436, 545, 872, 1090, 1744, 2180, 4360, 8720. There are 20 integers that are factors of 8720. The greatest factor of 8720 is 8720.

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 8720 and 8724?

Answer:

Greatest Common Factor of 8720 and 8724 = 4

Step 1: Find the prime factorization of 8720

8720 = 2 x 2 x 2 x 2 x 5 x 109

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 8720 and 8724 is 4