Greatest Common Factor of 31013 and 31016

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 31013, 31016 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31013 and 31016 is 1.

GCF(31013,31016) = 1

GCF of 31013 and 31016

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

GCF of:
and

Greatest Common Factor of 31013 and 31016

GCF of 31013 and 31016 is 1

Prime Factorization of 31013


31013 31013
1

Prime factors of 31013 are 31013. Prime factorization of 31013 in exponential form is:

31013 = 310131

Prime Factorization of 31016


2 31016
2 15508
2 7754
3877 3877
1

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

31016 = 23×38771

∴ So by taking common prime factors GCF of 31013 and 31016 is 1

Greatest Common Factor of 31013 and 31016 by matching factors method

Factors of 31013

List of positive integer factors of 31013 that divides 31013 without a remainder.

1,31013

Factors of 31016

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

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

Greatest Common Factor

We found the factors and prime factorization of 31013 and 31016. The biggest common factor number is the GCF number.
So the greatest common factor 31013 and 31016 is 1.

Also check out the Least Common Multiple of 31013 and 31016

Properties of GCF 31013 and 31016

(i) The GCF of 31013 and 31016 is associative

GCF of 31013 and 31016 = GCF of 31016 and 31013

Related Greatest Common Factor of 31013

Related Greatest Common Factor of 31016

Frequently Asked Questions on GCF of 31013 and 31016

1. What is the GCF of 31013 and 31016?

Answer: GCF of 31013 and 31016 is 1.

2. What are the Factors of 31013?

Answer: Factors of 31013 are 1, 31013. There are 2 integers that are factors of 31013. The greatest factor of 31013 is 31013.

3. 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.

4. How to Find the GCF of 31013 and 31016?

Answer:

Greatest Common Factor of 31013 and 31016 = 1

Step 1: Find the prime factorization of 31013

31013 = 31013

Step 2: Find the prime factorization of 31016

31016 = 2 x 2 x 2 x 3877

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 31013 and 31016 is 1