Greatest Common Factor of 31013 and 31018

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, 31018 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31013 and 31018 is 1.

GCF(31013,31018) = 1

GCF of 31013 and 31018

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

GCF of:
and

Greatest Common Factor of 31013 and 31018

GCF of 31013 and 31018 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 31018


2 31018
13 15509
1193 1193
1

Prime factors of 31018 are 2.Prime factorization of 31018 in exponential form is:

31018 = 21×131×11931

∴ So by taking common prime factors GCF of 31013 and 31018 is 1

Greatest Common Factor of 31013 and 31018 by matching factors method

Factors of 31013

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

1,31013

Factors of 31018

List of positive integer factors of 31018 that divides 31018 without a remainder.

1,2,13,26,1193,2386,15509,31018

Greatest Common Factor

We found the factors and prime factorization of 31013 and 31018. The biggest common factor number is the GCF number.
So the greatest common factor 31013 and 31018 is 1.

Also check out the Least Common Multiple of 31013 and 31018

Properties of GCF 31013 and 31018

(i) The GCF of 31013 and 31018 is associative

GCF of 31013 and 31018 = GCF of 31018 and 31013

Frequently Asked Questions on GCF of 31013 and 31018

1. What is the GCF of 31013 and 31018?

Answer: GCF of 31013 and 31018 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 31018?

Answer: Factors of 31018 are 1, 2, 13, 26, 1193, 2386, 15509, 31018. There are 8 integers that are factors of 31018. The greatest factor of 31018 is 31018.

4. How to Find the GCF of 31013 and 31018?

Answer:

Greatest Common Factor of 31013 and 31018 = 1

Step 1: Find the prime factorization of 31013

31013 = 31013

Step 2: Find the prime factorization of 31018

31018 = 2 x 13 x 1193

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 31018 is 1