Greatest Common Factor of 8724 and 8727

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 8724, 8727 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8724 and 8727 is 3.

GCF(8724,8727) = 3

GCF of 8724 and 8727

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

GCF of:
and

Greatest Common Factor of 8724 and 8727

GCF of 8724 and 8727 is 3

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

Prime Factorization of 8727


3 8727
2909 2909
1

Prime factors of 8727 are 3,2909. Prime factorization of 8727 in exponential form is:

8727 = 31×29091

∴ So by taking common prime factors GCF of 8724 and 8727 is 3

Greatest Common Factor of 8724 and 8727 by matching factors method

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

Factors of 8727

List of positive integer factors of 8727 that divides 8727 without a remainder.

1,3,2909,8727

Greatest Common Factor

We found the factors and prime factorization of 8724 and 8727. The biggest common factor number is the GCF number.
So the greatest common factor 8724 and 8727 is 3.

Also check out the Least Common Multiple of 8724 and 8727

Properties of GCF 8724 and 8727

(i) The GCF of 8724 and 8727 is associative

GCF of 8724 and 8727 = GCF of 8727 and 8724

Related Greatest Common Factor of 8724

Related Greatest Common Factor of 8727

Frequently Asked Questions on GCF of 8724 and 8727

1. What is the GCF of 8724 and 8727?

Answer: GCF of 8724 and 8727 is 3.

2. 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.

3. What are the Factors of 8727?

Answer: Factors of 8727 are 1, 3, 2909, 8727. There are 4 integers that are factors of 8727. The greatest factor of 8727 is 8727.

4. How to Find the GCF of 8724 and 8727?

Answer:

Greatest Common Factor of 8724 and 8727 = 3

Step 1: Find the prime factorization of 8724

8724 = 2 x 2 x 3 x 727

Step 2: Find the prime factorization of 8727

8727 = 3 x 2909

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8724 and 8727 is 3