Greatest Common Factor of 2712 and 2720

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 2712, 2720 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2712 and 2720 is 8.

GCF(2712,2720) = 8

GCF of 2712 and 2720

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

GCF of:
and

Greatest Common Factor of 2712 and 2720

GCF of 2712 and 2720 is 8

Prime Factorization of 2712


2 2712
2 1356
2 678
3 339
113 113
1

Prime factors of 2712 are 2,3,113. Prime factorization of 2712 in exponential form is:

2712 = 23×31×1131

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

∴ So by taking common prime factors GCF of 2712 and 2720 is 8

Greatest Common Factor of 2712 and 2720 by matching factors method

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

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

Greatest Common Factor

We found the factors and prime factorization of 2712 and 2720. The biggest common factor number is the GCF number.
So the greatest common factor 2712 and 2720 is 8.

Also check out the Least Common Multiple of 2712 and 2720

Properties of GCF 2712 and 2720

(i) The GCF of 2712 and 2720 is associative

GCF of 2712 and 2720 = GCF of 2720 and 2712

Related Greatest Common Factor of 2712

Related Greatest Common Factor of 2720

Frequently Asked Questions on GCF of 2712 and 2720

1. What is the GCF of 2712 and 2720?

Answer: GCF of 2712 and 2720 is 8.

2. What are the Factors of 2712?

Answer: Factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712. There are 16 integers that are factors of 2712. The greatest factor of 2712 is 2712.

3. 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.

4. How to Find the GCF of 2712 and 2720?

Answer:

Greatest Common Factor of 2712 and 2720 = 8

Step 1: Find the prime factorization of 2712

2712 = 2 x 2 x 2 x 3 x 113

Step 2: Find the prime factorization of 2720

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

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 2712 and 2720 is 8