Greatest Common Factor of 31014 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 31014, 31022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 31014 and 31022 is 2.

GCF(31014,31022) = 2

GCF of 31014 and 31022

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

GCF of:
and

Greatest Common Factor of 31014 and 31022

GCF of 31014 and 31022 is 2

Prime Factorization of 31014


2 31014
3 15507
3 5169
1723 1723
1

Prime factors of 31014 are 2,3,1723. Prime factorization of 31014 in exponential form is:

31014 = 21×32×17231

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 31014 and 31022 is 2

Greatest Common Factor of 31014 and 31022 by matching factors method

Factors of 31014

List of positive integer factors of 31014 that divides 31014 without a remainder.

1,2,3,6,9,18,1723,3446,5169,10338,15507,31014

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 31014 and 31022. The biggest common factor number is the GCF number.
So the greatest common factor 31014 and 31022 is 2.

Also check out the Least Common Multiple of 31014 and 31022

Properties of GCF 31014 and 31022

(i) The GCF of 31014 and 31022 is associative

GCF of 31014 and 31022 = GCF of 31022 and 31014

Related Greatest Common Factor of 31014

Related Greatest Common Factor of 31022

Frequently Asked Questions on GCF of 31014 and 31022

1. What is the GCF of 31014 and 31022?

Answer: GCF of 31014 and 31022 is 2.

2. What are the Factors of 31014?

Answer: Factors of 31014 are 1, 2, 3, 6, 9, 18, 1723, 3446, 5169, 10338, 15507, 31014. There are 12 integers that are factors of 31014. The greatest factor of 31014 is 31014.

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 31014 and 31022?

Answer:

Greatest Common Factor of 31014 and 31022 = 2

Step 1: Find the prime factorization of 31014

31014 = 2 x 3 x 3 x 1723

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 31014 and 31022 is 2