Greatest Common Factor of 31416 and 31423

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, 31423 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31416 and 31423 is 7.

GCF(31416,31423) = 7

GCF of 31416 and 31423

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

GCF of:
and

Greatest Common Factor of 31416 and 31423

GCF of 31416 and 31423 is 7

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 31423


7 31423
67 4489
67 67
1

Prime factors of 31423 are 7,67. Prime factorization of 31423 in exponential form is:

31423 = 71×672

∴ So by taking common prime factors GCF of 31416 and 31423 is 7

Greatest Common Factor of 31416 and 31423 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 31423

List of positive integer factors of 31423 that divides 31423 without a remainder.

1,7,67,469,4489,31423

Greatest Common Factor

We found the factors and prime factorization of 31416 and 31423. The biggest common factor number is the GCF number.
So the greatest common factor 31416 and 31423 is 7.

Also check out the Least Common Multiple of 31416 and 31423

Properties of GCF 31416 and 31423

(i) The GCF of 31416 and 31423 is associative

GCF of 31416 and 31423 = GCF of 31423 and 31416

Related Greatest Common Factor of 31416

Related Greatest Common Factor of 31423

Frequently Asked Questions on GCF of 31416 and 31423

1. What is the GCF of 31416 and 31423?

Answer: GCF of 31416 and 31423 is 7.

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 31423?

Answer: Factors of 31423 are 1, 7, 67, 469, 4489, 31423. There are 6 integers that are factors of 31423. The greatest factor of 31423 is 31423.

4. How to Find the GCF of 31416 and 31423?

Answer:

Greatest Common Factor of 31416 and 31423 = 7

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 31423

31423 = 7 x 67 x 67

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 31416 and 31423 is 7