Greatest Common Factor of 8714 and 8720

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 8714, 8720 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8714 and 8720 is 2.

GCF(8714,8720) = 2

GCF of 8714 and 8720

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

GCF of:
and

Greatest Common Factor of 8714 and 8720

GCF of 8714 and 8720 is 2

Prime Factorization of 8714


2 8714
4357 4357
1

Prime factors of 8714 are 2,4357. Prime factorization of 8714 in exponential form is:

8714 = 21×43571

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

∴ So by taking common prime factors GCF of 8714 and 8720 is 2

Greatest Common Factor of 8714 and 8720 by matching factors method

Factors of 8714

List of positive integer factors of 8714 that divides 8714 without a remainder.

1,2,4357,8714

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

Greatest Common Factor

We found the factors and prime factorization of 8714 and 8720. The biggest common factor number is the GCF number.
So the greatest common factor 8714 and 8720 is 2.

Also check out the Least Common Multiple of 8714 and 8720

Properties of GCF 8714 and 8720

(i) The GCF of 8714 and 8720 is associative

GCF of 8714 and 8720 = GCF of 8720 and 8714

Related Greatest Common Factor of 8714

Related Greatest Common Factor of 8720

Frequently Asked Questions on GCF of 8714 and 8720

1. What is the GCF of 8714 and 8720?

Answer: GCF of 8714 and 8720 is 2.

2. What are the Factors of 8714?

Answer: Factors of 8714 are 1, 2, 4357, 8714. There are 4 integers that are factors of 8714. The greatest factor of 8714 is 8714.

3. 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.

4. How to Find the GCF of 8714 and 8720?

Answer:

Greatest Common Factor of 8714 and 8720 = 2

Step 1: Find the prime factorization of 8714

8714 = 2 x 4357

Step 2: Find the prime factorization of 8720

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8714 and 8720 is 2