Greatest Common Factor of 31404 and 31410

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 31404, 31410 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31404 and 31410 is 6.

GCF(31404,31410) = 6

GCF of 31404 and 31410

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

GCF of:
and

Greatest Common Factor of 31404 and 31410

GCF of 31404 and 31410 is 6

Prime Factorization of 31404


2 31404
2 15702
3 7851
2617 2617
1

Prime factors of 31404 are 2,3,2617. Prime factorization of 31404 in exponential form is:

31404 = 22×31×26171

Prime Factorization of 31410


2 31410
3 15705
3 5235
5 1745
349 349
1

Prime factors of 31410 are 2,3,5,349. Prime factorization of 31410 in exponential form is:

31410 = 21×32×51×3491

∴ So by taking common prime factors GCF of 31404 and 31410 is 6

Greatest Common Factor of 31404 and 31410 by matching factors method

Factors of 31404

List of positive integer factors of 31404 that divides 31404 without a remainder.

1,2,3,4,6,12,2617,5234,7851,10468,15702,31404

Factors of 31410

List of positive integer factors of 31410 that divides 31410 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,349,698,1047,1745,2094,3141,3490,5235,6282,10470,15705,31410

Greatest Common Factor

We found the factors and prime factorization of 31404 and 31410. The biggest common factor number is the GCF number.
So the greatest common factor 31404 and 31410 is 6.

Also check out the Least Common Multiple of 31404 and 31410

Properties of GCF 31404 and 31410

(i) The GCF of 31404 and 31410 is associative

GCF of 31404 and 31410 = GCF of 31410 and 31404

Related Greatest Common Factor of 31404

Related Greatest Common Factor of 31410

Frequently Asked Questions on GCF of 31404 and 31410

1. What is the GCF of 31404 and 31410?

Answer: GCF of 31404 and 31410 is 6.

2. What are the Factors of 31404?

Answer: Factors of 31404 are 1, 2, 3, 4, 6, 12, 2617, 5234, 7851, 10468, 15702, 31404. There are 12 integers that are factors of 31404. The greatest factor of 31404 is 31404.

3. What are the Factors of 31410?

Answer: Factors of 31410 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 349, 698, 1047, 1745, 2094, 3141, 3490, 5235, 6282, 10470, 15705, 31410. There are 24 integers that are factors of 31410. The greatest factor of 31410 is 31410.

4. How to Find the GCF of 31404 and 31410?

Answer:

Greatest Common Factor of 31404 and 31410 = 6

Step 1: Find the prime factorization of 31404

31404 = 2 x 2 x 3 x 2617

Step 2: Find the prime factorization of 31410

31410 = 2 x 3 x 3 x 5 x 349

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 31404 and 31410 is 6