Greatest Common Factor of 31016 and 31022

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 31016, 31022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31016 and 31022 is 2.

GCF(31016,31022) = 2

GCF of 31016 and 31022

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

GCF of:
and

Greatest Common Factor of 31016 and 31022

GCF of 31016 and 31022 is 2

Prime Factorization of 31016


2 31016
2 15508
2 7754
3877 3877
1

Prime factors of 31016 are 2,3877. Prime factorization of 31016 in exponential form is:

31016 = 23×38771

Prime Factorization of 31022


2 31022
15511 15511
1

Prime factors of 31022 are 2,15511. Prime factorization of 31022 in exponential form is:

31022 = 21×155111

∴ So by taking common prime factors GCF of 31016 and 31022 is 2

Greatest Common Factor of 31016 and 31022 by matching factors method

Factors of 31016

List of positive integer factors of 31016 that divides 31016 without a remainder.

1,2,4,8,3877,7754,15508,31016

Factors of 31022

List of positive integer factors of 31022 that divides 31022 without a remainder.

1,2,15511,31022

Greatest Common Factor

We found the factors and prime factorization of 31016 and 31022. The biggest common factor number is the GCF number.
So the greatest common factor 31016 and 31022 is 2.

Also check out the Least Common Multiple of 31016 and 31022

Properties of GCF 31016 and 31022

(i) The GCF of 31016 and 31022 is associative

GCF of 31016 and 31022 = GCF of 31022 and 31016

Related Greatest Common Factor of 31016

Related Greatest Common Factor of 31022

Frequently Asked Questions on GCF of 31016 and 31022

1. What is the GCF of 31016 and 31022?

Answer: GCF of 31016 and 31022 is 2.

2. What are the Factors of 31016?

Answer: Factors of 31016 are 1, 2, 4, 8, 3877, 7754, 15508, 31016. There are 8 integers that are factors of 31016. The greatest factor of 31016 is 31016.

3. What are the Factors of 31022?

Answer: Factors of 31022 are 1, 2, 15511, 31022. There are 4 integers that are factors of 31022. The greatest factor of 31022 is 31022.

4. How to Find the GCF of 31016 and 31022?

Answer:

Greatest Common Factor of 31016 and 31022 = 2

Step 1: Find the prime factorization of 31016

31016 = 2 x 2 x 2 x 3877

Step 2: Find the prime factorization of 31022

31022 = 2 x 15511

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 31016 and 31022 is 2