Greatest Common Factor of 2712 and 2718

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, 2718 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2712 and 2718 is 6.

GCF(2712,2718) = 6

GCF of 2712 and 2718

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

GCF of:
and

Greatest Common Factor of 2712 and 2718

GCF of 2712 and 2718 is 6

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 2718


2 2718
3 1359
3 453
151 151
1

Prime factors of 2718 are 2,3,151. Prime factorization of 2718 in exponential form is:

2718 = 21×32×1511

∴ So by taking common prime factors GCF of 2712 and 2718 is 6

Greatest Common Factor of 2712 and 2718 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 2718

List of positive integer factors of 2718 that divides 2718 without a remainder.

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors and prime factorization of 2712 and 2718. The biggest common factor number is the GCF number.
So the greatest common factor 2712 and 2718 is 6.

Also check out the Least Common Multiple of 2712 and 2718

Properties of GCF 2712 and 2718

(i) The GCF of 2712 and 2718 is associative

GCF of 2712 and 2718 = GCF of 2718 and 2712

Related Greatest Common Factor of 2712

Related Greatest Common Factor of 2718

Frequently Asked Questions on GCF of 2712 and 2718

1. What is the GCF of 2712 and 2718?

Answer: GCF of 2712 and 2718 is 6.

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 2718?

Answer: Factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718. There are 12 integers that are factors of 2718. The greatest factor of 2718 is 2718.

4. How to Find the GCF of 2712 and 2718?

Answer:

Greatest Common Factor of 2712 and 2718 = 6

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 2718

2718 = 2 x 3 x 3 x 151

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 2712 and 2718 is 6