Greatest Common Factor of 5712 and 5714

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, 5714 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5712 and 5714 is 2.

GCF(5712,5714) = 2

GCF of 5712 and 5714

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

GCF of:
and

Greatest Common Factor of 5712 and 5714

GCF of 5712 and 5714 is 2

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 5714


2 5714
2857 2857
1

Prime factors of 5714 are 2,2857. Prime factorization of 5714 in exponential form is:

5714 = 21×28571

∴ So by taking common prime factors GCF of 5712 and 5714 is 2

Greatest Common Factor of 5712 and 5714 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 5714

List of positive integer factors of 5714 that divides 5714 without a remainder.

1,2,2857,5714

Greatest Common Factor

We found the factors and prime factorization of 5712 and 5714. The biggest common factor number is the GCF number.
So the greatest common factor 5712 and 5714 is 2.

Also check out the Least Common Multiple of 5712 and 5714

Properties of GCF 5712 and 5714

(i) The GCF of 5712 and 5714 is associative

GCF of 5712 and 5714 = GCF of 5714 and 5712

Related Greatest Common Factor of 5712

Related Greatest Common Factor of 5714

Frequently Asked Questions on GCF of 5712 and 5714

1. What is the GCF of 5712 and 5714?

Answer: GCF of 5712 and 5714 is 2.

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 5714?

Answer: Factors of 5714 are 1, 2, 2857, 5714. There are 4 integers that are factors of 5714. The greatest factor of 5714 is 5714.

4. How to Find the GCF of 5712 and 5714?

Answer:

Greatest Common Factor of 5712 and 5714 = 2

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 5714

5714 = 2 x 2857

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

GCF = 2

Step 4: Therefore, the greatest common factor of 5712 and 5714 is 2