Greatest Common Factor of 5705 and 5712

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 5705, 5712 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5705 and 5712 is 7.

GCF(5705,5712) = 7

GCF of 5705 and 5712

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

GCF of:
and

Greatest Common Factor of 5705 and 5712

GCF of 5705 and 5712 is 7

Prime Factorization of 5705


5 5705
7 1141
163 163
1

Prime factors of 5705 are 5,7,163. Prime factorization of 5705 in exponential form is:

5705 = 51×71×1631

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

∴ So by taking common prime factors GCF of 5705 and 5712 is 7

Greatest Common Factor of 5705 and 5712 by matching factors method

Factors of 5705

List of positive integer factors of 5705 that divides 5705 without a remainder.

1,5,7,35,163,815,1141,5705

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

Greatest Common Factor

We found the factors and prime factorization of 5705 and 5712. The biggest common factor number is the GCF number.
So the greatest common factor 5705 and 5712 is 7.

Also check out the Least Common Multiple of 5705 and 5712

Properties of GCF 5705 and 5712

(i) The GCF of 5705 and 5712 is associative

GCF of 5705 and 5712 = GCF of 5712 and 5705

Related Greatest Common Factor of 5705

Related Greatest Common Factor of 5712

Frequently Asked Questions on GCF of 5705 and 5712

1. What is the GCF of 5705 and 5712?

Answer: GCF of 5705 and 5712 is 7.

2. What are the Factors of 5705?

Answer: Factors of 5705 are 1, 5, 7, 35, 163, 815, 1141, 5705. There are 8 integers that are factors of 5705. The greatest factor of 5705 is 5705.

3. 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.

4. How to Find the GCF of 5705 and 5712?

Answer:

Greatest Common Factor of 5705 and 5712 = 7

Step 1: Find the prime factorization of 5705

5705 = 5 x 7 x 163

Step 2: Find the prime factorization of 5712

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

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 5705 and 5712 is 7