Greatest Common Factor of 5712 and 5719

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, 5719 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5712 and 5719 is 7.

GCF(5712,5719) = 7

GCF of 5712 and 5719

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

GCF of:
and

Greatest Common Factor of 5712 and 5719

GCF of 5712 and 5719 is 7

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 5719


7 5719
19 817
43 43
1

Prime factors of 5719 are 7,19,43. Prime factorization of 5719 in exponential form is:

5719 = 71×191×431

∴ So by taking common prime factors GCF of 5712 and 5719 is 7

Greatest Common Factor of 5712 and 5719 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 5719

List of positive integer factors of 5719 that divides 5719 without a remainder.

1,7,19,43,133,301,817,5719

Greatest Common Factor

We found the factors and prime factorization of 5712 and 5719. The biggest common factor number is the GCF number.
So the greatest common factor 5712 and 5719 is 7.

Also check out the Least Common Multiple of 5712 and 5719

Properties of GCF 5712 and 5719

(i) The GCF of 5712 and 5719 is associative

GCF of 5712 and 5719 = GCF of 5719 and 5712

Related Greatest Common Factor of 5712

Related Greatest Common Factor of 5719

Frequently Asked Questions on GCF of 5712 and 5719

1. What is the GCF of 5712 and 5719?

Answer: GCF of 5712 and 5719 is 7.

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 5719?

Answer: Factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719. There are 8 integers that are factors of 5719. The greatest factor of 5719 is 5719.

4. How to Find the GCF of 5712 and 5719?

Answer:

Greatest Common Factor of 5712 and 5719 = 7

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 5719

5719 = 7 x 19 x 43

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5712 and 5719 is 7