Greatest Common Factor of 2720 and 2724

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 2720, 2724 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2720 and 2724 is 4.

GCF(2720,2724) = 4

GCF of 2720 and 2724

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

GCF of:
and

Greatest Common Factor of 2720 and 2724

GCF of 2720 and 2724 is 4

Prime Factorization of 2720


2 2720
2 1360
2 680
2 340
2 170
5 85
17 17
1

Prime factors of 2720 are 2,5,17. Prime factorization of 2720 in exponential form is:

2720 = 25×51×171

Prime Factorization of 2724


2 2724
2 1362
3 681
227 227
1

Prime factors of 2724 are 2,3,227. Prime factorization of 2724 in exponential form is:

2724 = 22×31×2271

∴ So by taking common prime factors GCF of 2720 and 2724 is 4

Greatest Common Factor of 2720 and 2724 by matching factors method

Factors of 2720

List of positive integer factors of 2720 that divides 2720 without a remainder.

1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720

Factors of 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1,2,3,4,6,12,227,454,681,908,1362,2724

Greatest Common Factor

We found the factors and prime factorization of 2720 and 2724. The biggest common factor number is the GCF number.
So the greatest common factor 2720 and 2724 is 4.

Also check out the Least Common Multiple of 2720 and 2724

Properties of GCF 2720 and 2724

(i) The GCF of 2720 and 2724 is associative

GCF of 2720 and 2724 = GCF of 2724 and 2720

Related Greatest Common Factor of 2720

Related Greatest Common Factor of 2724

Frequently Asked Questions on GCF of 2720 and 2724

1. What is the GCF of 2720 and 2724?

Answer: GCF of 2720 and 2724 is 4.

2. What are the Factors of 2720?

Answer: Factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720. There are 24 integers that are factors of 2720. The greatest factor of 2720 is 2720.

3. What are the Factors of 2724?

Answer: Factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724. There are 12 integers that are factors of 2724. The greatest factor of 2724 is 2724.

4. How to Find the GCF of 2720 and 2724?

Answer:

Greatest Common Factor of 2720 and 2724 = 4

Step 1: Find the prime factorization of 2720

2720 = 2 x 2 x 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 2724

2724 = 2 x 2 x 3 x 227

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 2720 and 2724 is 4