Greatest Common Factor of 6014 and 6022

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 6014, 6022 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6014 and 6022 is 2.

GCF(6014,6022) = 2

GCF of 6014 and 6022

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

GCF of:
and

Greatest Common Factor of 6014 and 6022

GCF of 6014 and 6022 is 2

Prime Factorization of 6014


2 6014
31 3007
97 97
1

Prime factors of 6014 are 2,31,97. Prime factorization of 6014 in exponential form is:

6014 = 21×311×971

Prime Factorization of 6022


2 6022
3011 3011
1

Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:

6022 = 21×30111

∴ So by taking common prime factors GCF of 6014 and 6022 is 2

Greatest Common Factor of 6014 and 6022 by matching factors method

Factors of 6014

List of positive integer factors of 6014 that divides 6014 without a remainder.

1,2,31,62,97,194,3007,6014

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1,2,3011,6022

Greatest Common Factor

We found the factors and prime factorization of 6014 and 6022. The biggest common factor number is the GCF number.
So the greatest common factor 6014 and 6022 is 2.

Also check out the Least Common Multiple of 6014 and 6022

Properties of GCF 6014 and 6022

(i) The GCF of 6014 and 6022 is associative

GCF of 6014 and 6022 = GCF of 6022 and 6014

Related Greatest Common Factor of 6014

Related Greatest Common Factor of 6022

Frequently Asked Questions on GCF of 6014 and 6022

1. What is the GCF of 6014 and 6022?

Answer: GCF of 6014 and 6022 is 2.

2. What are the Factors of 6014?

Answer: Factors of 6014 are 1, 2, 31, 62, 97, 194, 3007, 6014. There are 8 integers that are factors of 6014. The greatest factor of 6014 is 6014.

3. What are the Factors of 6022?

Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.

4. How to Find the GCF of 6014 and 6022?

Answer:

Greatest Common Factor of 6014 and 6022 = 2

Step 1: Find the prime factorization of 6014

6014 = 2 x 31 x 97

Step 2: Find the prime factorization of 6022

6022 = 2 x 3011

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 6014 and 6022 is 2