Greatest Common Factor of 31400 and 31404

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 31400, 31404 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31400 and 31404 is 4.

GCF(31400,31404) = 4

GCF of 31400 and 31404

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

GCF of:
and

Greatest Common Factor of 31400 and 31404

GCF of 31400 and 31404 is 4

Prime Factorization of 31400


2 31400
2 15700
2 7850
5 3925
5 785
157 157
1

Prime factors of 31400 are 2,5,157. Prime factorization of 31400 in exponential form is:

31400 = 23×52×1571

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

∴ So by taking common prime factors GCF of 31400 and 31404 is 4

Greatest Common Factor of 31400 and 31404 by matching factors method

Factors of 31400

List of positive integer factors of 31400 that divides 31400 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,157,200,314,628,785,1256,1570,3140,3925,6280,7850,15700,31400

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

Greatest Common Factor

We found the factors and prime factorization of 31400 and 31404. The biggest common factor number is the GCF number.
So the greatest common factor 31400 and 31404 is 4.

Also check out the Least Common Multiple of 31400 and 31404

Properties of GCF 31400 and 31404

(i) The GCF of 31400 and 31404 is associative

GCF of 31400 and 31404 = GCF of 31404 and 31400

Related Greatest Common Factor of 31400

Related Greatest Common Factor of 31404

Frequently Asked Questions on GCF of 31400 and 31404

1. What is the GCF of 31400 and 31404?

Answer: GCF of 31400 and 31404 is 4.

2. What are the Factors of 31400?

Answer: Factors of 31400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 157, 200, 314, 628, 785, 1256, 1570, 3140, 3925, 6280, 7850, 15700, 31400. There are 24 integers that are factors of 31400. The greatest factor of 31400 is 31400.

3. 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.

4. How to Find the GCF of 31400 and 31404?

Answer:

Greatest Common Factor of 31400 and 31404 = 4

Step 1: Find the prime factorization of 31400

31400 = 2 x 2 x 2 x 5 x 5 x 157

Step 2: Find the prime factorization of 31404

31404 = 2 x 2 x 3 x 2617

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 31400 and 31404 is 4