Greatest Common Factor of 31416 and 31422

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 31416, 31422 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31416 and 31422 is 6.

GCF(31416,31422) = 6

GCF of 31416 and 31422

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

GCF of:
and

Greatest Common Factor of 31416 and 31422

GCF of 31416 and 31422 is 6

Prime Factorization of 31416


2 31416
2 15708
2 7854
3 3927
7 1309
11 187
17 17
1

Prime factors of 31416 are 2,3,7,11,17. Prime factorization of 31416 in exponential form is:

31416 = 23×31×71×111×171

Prime Factorization of 31422


2 31422
3 15711
5237 5237
1

Prime factors of 31422 are 2,3,5237. Prime factorization of 31422 in exponential form is:

31422 = 21×31×52371

∴ So by taking common prime factors GCF of 31416 and 31422 is 6

Greatest Common Factor of 31416 and 31422 by matching factors method

Factors of 31416

List of positive integer factors of 31416 that divides 31416 without a remainder.

1,2,3,4,6,7,8,11,12,14,17,21,22,24,28,33,34,42,44,51,56,66,68,77,84,88,102,119,132,136,154,168,187,204,231,238,264,308,357,374,408,462,476,561,616,714,748,924,952,1122,1309,1428,1496,1848,2244,2618,2856,3927,4488,5236,7854,10472,15708,31416

Factors of 31422

List of positive integer factors of 31422 that divides 31422 without a remainder.

1,2,3,6,5237,10474,15711,31422

Greatest Common Factor

We found the factors and prime factorization of 31416 and 31422. The biggest common factor number is the GCF number.
So the greatest common factor 31416 and 31422 is 6.

Also check out the Least Common Multiple of 31416 and 31422

Properties of GCF 31416 and 31422

(i) The GCF of 31416 and 31422 is associative

GCF of 31416 and 31422 = GCF of 31422 and 31416

Related Greatest Common Factor of 31416

Related Greatest Common Factor of 31422

Frequently Asked Questions on GCF of 31416 and 31422

1. What is the GCF of 31416 and 31422?

Answer: GCF of 31416 and 31422 is 6.

2. What are the Factors of 31416?

Answer: Factors of 31416 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 17, 21, 22, 24, 28, 33, 34, 42, 44, 51, 56, 66, 68, 77, 84, 88, 102, 119, 132, 136, 154, 168, 187, 204, 231, 238, 264, 308, 357, 374, 408, 462, 476, 561, 616, 714, 748, 924, 952, 1122, 1309, 1428, 1496, 1848, 2244, 2618, 2856, 3927, 4488, 5236, 7854, 10472, 15708, 31416. There are 64 integers that are factors of 31416. The greatest factor of 31416 is 31416.

3. What are the Factors of 31422?

Answer: Factors of 31422 are 1, 2, 3, 6, 5237, 10474, 15711, 31422. There are 8 integers that are factors of 31422. The greatest factor of 31422 is 31422.

4. How to Find the GCF of 31416 and 31422?

Answer:

Greatest Common Factor of 31416 and 31422 = 6

Step 1: Find the prime factorization of 31416

31416 = 2 x 2 x 2 x 3 x 7 x 11 x 17

Step 2: Find the prime factorization of 31422

31422 = 2 x 3 x 5237

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 31416 and 31422 is 6