Greatest Common Factor of 5712 and 5718

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 5712, 5718 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5712 and 5718 is 6.

GCF(5712,5718) = 6

GCF of 5712 and 5718

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

GCF of:
and

Greatest Common Factor of 5712 and 5718

GCF of 5712 and 5718 is 6

Prime Factorization of 5712


2 5712
2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 5712 are 2,3,7,17. Prime factorization of 5712 in exponential form is:

5712 = 24×31×71×171

Prime Factorization of 5718


2 5718
3 2859
953 953
1

Prime factors of 5718 are 2,3,953. Prime factorization of 5718 in exponential form is:

5718 = 21×31×9531

∴ So by taking common prime factors GCF of 5712 and 5718 is 6

Greatest Common Factor of 5712 and 5718 by matching factors method

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712

Factors of 5718

List of positive integer factors of 5718 that divides 5718 without a remainder.

1,2,3,6,953,1906,2859,5718

Greatest Common Factor

We found the factors and prime factorization of 5712 and 5718. The biggest common factor number is the GCF number.
So the greatest common factor 5712 and 5718 is 6.

Also check out the Least Common Multiple of 5712 and 5718

Properties of GCF 5712 and 5718

(i) The GCF of 5712 and 5718 is associative

GCF of 5712 and 5718 = GCF of 5718 and 5712

Related Greatest Common Factor of 5712

Related Greatest Common Factor of 5718

Frequently Asked Questions on GCF of 5712 and 5718

1. What is the GCF of 5712 and 5718?

Answer: GCF of 5712 and 5718 is 6.

2. What are the Factors of 5712?

Answer: Factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712. There are 40 integers that are factors of 5712. The greatest factor of 5712 is 5712.

3. What are the Factors of 5718?

Answer: Factors of 5718 are 1, 2, 3, 6, 953, 1906, 2859, 5718. There are 8 integers that are factors of 5718. The greatest factor of 5718 is 5718.

4. How to Find the GCF of 5712 and 5718?

Answer:

Greatest Common Factor of 5712 and 5718 = 6

Step 1: Find the prime factorization of 5712

5712 = 2 x 2 x 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 5718

5718 = 2 x 3 x 953

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 5712 and 5718 is 6