Greatest Common Factor of 31400 and 31402

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, 31402 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31400 and 31402 is 2.

GCF(31400,31402) = 2

GCF of 31400 and 31402

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

GCF of:
and

Greatest Common Factor of 31400 and 31402

GCF of 31400 and 31402 is 2

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 31402


2 31402
7 15701
2243 2243
1

Prime factors of 31402 are 2,7,2243. Prime factorization of 31402 in exponential form is:

31402 = 21×71×22431

∴ So by taking common prime factors GCF of 31400 and 31402 is 2

Greatest Common Factor of 31400 and 31402 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 31402

List of positive integer factors of 31402 that divides 31402 without a remainder.

1,2,7,14,2243,4486,15701,31402

Greatest Common Factor

We found the factors and prime factorization of 31400 and 31402. The biggest common factor number is the GCF number.
So the greatest common factor 31400 and 31402 is 2.

Also check out the Least Common Multiple of 31400 and 31402

Properties of GCF 31400 and 31402

(i) The GCF of 31400 and 31402 is associative

GCF of 31400 and 31402 = GCF of 31402 and 31400

Related Greatest Common Factor of 31400

Related Greatest Common Factor of 31402

Frequently Asked Questions on GCF of 31400 and 31402

1. What is the GCF of 31400 and 31402?

Answer: GCF of 31400 and 31402 is 2.

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 31402?

Answer: Factors of 31402 are 1, 2, 7, 14, 2243, 4486, 15701, 31402. There are 8 integers that are factors of 31402. The greatest factor of 31402 is 31402.

4. How to Find the GCF of 31400 and 31402?

Answer:

Greatest Common Factor of 31400 and 31402 = 2

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 31402

31402 = 2 x 7 x 2243

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

GCF = 2

Step 4: Therefore, the greatest common factor of 31400 and 31402 is 2