Greatest Common Factor of 6014 and 6018

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, 6018 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6014 and 6018 is 2.

GCF(6014,6018) = 2

GCF of 6014 and 6018

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

GCF of:
and

Greatest Common Factor of 6014 and 6018

GCF of 6014 and 6018 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 6018


2 6018
3 3009
17 1003
59 59
1

Prime factors of 6018 are 2,3,17,59. Prime factorization of 6018 in exponential form is:

6018 = 21×31×171×591

∴ So by taking common prime factors GCF of 6014 and 6018 is 2

Greatest Common Factor of 6014 and 6018 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 6018

List of positive integer factors of 6018 that divides 6018 without a remainder.

1,2,3,6,17,34,51,59,102,118,177,354,1003,2006,3009,6018

Greatest Common Factor

We found the factors and prime factorization of 6014 and 6018. The biggest common factor number is the GCF number.
So the greatest common factor 6014 and 6018 is 2.

Also check out the Least Common Multiple of 6014 and 6018

Properties of GCF 6014 and 6018

(i) The GCF of 6014 and 6018 is associative

GCF of 6014 and 6018 = GCF of 6018 and 6014

Related Greatest Common Factor of 6014

Related Greatest Common Factor of 6018

Frequently Asked Questions on GCF of 6014 and 6018

1. What is the GCF of 6014 and 6018?

Answer: GCF of 6014 and 6018 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 6018?

Answer: Factors of 6018 are 1, 2, 3, 6, 17, 34, 51, 59, 102, 118, 177, 354, 1003, 2006, 3009, 6018. There are 16 integers that are factors of 6018. The greatest factor of 6018 is 6018.

4. How to Find the GCF of 6014 and 6018?

Answer:

Greatest Common Factor of 6014 and 6018 = 2

Step 1: Find the prime factorization of 6014

6014 = 2 x 31 x 97

Step 2: Find the prime factorization of 6018

6018 = 2 x 3 x 17 x 59

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 6018 is 2