Greatest Common Factor of 2704 and 2712

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 2704, 2712 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2704 and 2712 is 8.

GCF(2704,2712) = 8

GCF of 2704 and 2712

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

GCF of:
and

Greatest Common Factor of 2704 and 2712

GCF of 2704 and 2712 is 8

Prime Factorization of 2704


2 2704
2 1352
2 676
2 338
13 169
13 13
1

Prime factors of 2704 are 2,13. Prime factorization of 2704 in exponential form is:

2704 = 24×132

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

∴ So by taking common prime factors GCF of 2704 and 2712 is 8

Greatest Common Factor of 2704 and 2712 by matching factors method

Factors of 2704

List of positive integer factors of 2704 that divides 2704 without a remainder.

1,2,4,8,13,16,26,52,104,169,208,338,676,1352,2704

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

Greatest Common Factor

We found the factors and prime factorization of 2704 and 2712. The biggest common factor number is the GCF number.
So the greatest common factor 2704 and 2712 is 8.

Also check out the Least Common Multiple of 2704 and 2712

Properties of GCF 2704 and 2712

(i) The GCF of 2704 and 2712 is associative

GCF of 2704 and 2712 = GCF of 2712 and 2704

Related Greatest Common Factor of 2704

Related Greatest Common Factor of 2712

Frequently Asked Questions on GCF of 2704 and 2712

1. What is the GCF of 2704 and 2712?

Answer: GCF of 2704 and 2712 is 8.

2. What are the Factors of 2704?

Answer: Factors of 2704 are 1, 2, 4, 8, 13, 16, 26, 52, 104, 169, 208, 338, 676, 1352, 2704. There are 15 integers that are factors of 2704. The greatest factor of 2704 is 2704.

3. 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.

4. How to Find the GCF of 2704 and 2712?

Answer:

Greatest Common Factor of 2704 and 2712 = 8

Step 1: Find the prime factorization of 2704

2704 = 2 x 2 x 2 x 2 x 13 x 13

Step 2: Find the prime factorization of 2712

2712 = 2 x 2 x 2 x 3 x 113

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 2704 and 2712 is 8