Greatest Common Factor of 31490 and 31494

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 31490, 31494 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31490 and 31494 is 2.

GCF(31490,31494) = 2

GCF of 31490 and 31494

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

GCF of:
and

Greatest Common Factor of 31490 and 31494

GCF of 31490 and 31494 is 2

Prime Factorization of 31490


2 31490
5 15745
47 3149
67 67
1

Prime factors of 31490 are 2,5,47,67. Prime factorization of 31490 in exponential form is:

31490 = 21×51×471×671

Prime Factorization of 31494


2 31494
3 15747
29 5249
181 181
1

Prime factors of 31494 are 2,3,29,181. Prime factorization of 31494 in exponential form is:

31494 = 21×31×291×1811

∴ So by taking common prime factors GCF of 31490 and 31494 is 2

Greatest Common Factor of 31490 and 31494 by matching factors method

Factors of 31490

List of positive integer factors of 31490 that divides 31490 without a remainder.

1,2,5,10,47,67,94,134,235,335,470,670,3149,6298,15745,31490

Factors of 31494

List of positive integer factors of 31494 that divides 31494 without a remainder.

1,2,3,6,29,58,87,174,181,362,543,1086,5249,10498,15747,31494

Greatest Common Factor

We found the factors and prime factorization of 31490 and 31494. The biggest common factor number is the GCF number.
So the greatest common factor 31490 and 31494 is 2.

Also check out the Least Common Multiple of 31490 and 31494

Properties of GCF 31490 and 31494

(i) The GCF of 31490 and 31494 is associative

GCF of 31490 and 31494 = GCF of 31494 and 31490

Related Greatest Common Factor of 31490

Related Greatest Common Factor of 31494

Frequently Asked Questions on GCF of 31490 and 31494

1. What is the GCF of 31490 and 31494?

Answer: GCF of 31490 and 31494 is 2.

2. What are the Factors of 31490?

Answer: Factors of 31490 are 1, 2, 5, 10, 47, 67, 94, 134, 235, 335, 470, 670, 3149, 6298, 15745, 31490. There are 16 integers that are factors of 31490. The greatest factor of 31490 is 31490.

3. What are the Factors of 31494?

Answer: Factors of 31494 are 1, 2, 3, 6, 29, 58, 87, 174, 181, 362, 543, 1086, 5249, 10498, 15747, 31494. There are 16 integers that are factors of 31494. The greatest factor of 31494 is 31494.

4. How to Find the GCF of 31490 and 31494?

Answer:

Greatest Common Factor of 31490 and 31494 = 2

Step 1: Find the prime factorization of 31490

31490 = 2 x 5 x 47 x 67

Step 2: Find the prime factorization of 31494

31494 = 2 x 3 x 29 x 181

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 31490 and 31494 is 2