Greatest Common Factor of 31485 and 31490

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 31485, 31490 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31485 and 31490 is 5.

GCF(31485,31490) = 5

GCF of 31485 and 31490

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

GCF of:
and

Greatest Common Factor of 31485 and 31490

GCF of 31485 and 31490 is 5

Prime Factorization of 31485


3 31485
5 10495
2099 2099
1

Prime factors of 31485 are 3,5,2099. Prime factorization of 31485 in exponential form is:

31485 = 31×51×20991

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

∴ So by taking common prime factors GCF of 31485 and 31490 is 5

Greatest Common Factor of 31485 and 31490 by matching factors method

Factors of 31485

List of positive integer factors of 31485 that divides 31485 without a remainder.

1,3,5,15,2099,6297,10495,31485

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

Greatest Common Factor

We found the factors and prime factorization of 31485 and 31490. The biggest common factor number is the GCF number.
So the greatest common factor 31485 and 31490 is 5.

Also check out the Least Common Multiple of 31485 and 31490

Properties of GCF 31485 and 31490

(i) The GCF of 31485 and 31490 is associative

GCF of 31485 and 31490 = GCF of 31490 and 31485

Related Greatest Common Factor of 31485

Related Greatest Common Factor of 31490

Frequently Asked Questions on GCF of 31485 and 31490

1. What is the GCF of 31485 and 31490?

Answer: GCF of 31485 and 31490 is 5.

2. What are the Factors of 31485?

Answer: Factors of 31485 are 1, 3, 5, 15, 2099, 6297, 10495, 31485. There are 8 integers that are factors of 31485. The greatest factor of 31485 is 31485.

3. 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.

4. How to Find the GCF of 31485 and 31490?

Answer:

Greatest Common Factor of 31485 and 31490 = 5

Step 1: Find the prime factorization of 31485

31485 = 3 x 5 x 2099

Step 2: Find the prime factorization of 31490

31490 = 2 x 5 x 47 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 31485 and 31490 is 5