Greatest Common Factor of 6014 and 6020

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, 6020 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6014 and 6020 is 2.

GCF(6014,6020) = 2

GCF of 6014 and 6020

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

GCF of:
and

Greatest Common Factor of 6014 and 6020

GCF of 6014 and 6020 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 6020


2 6020
2 3010
5 1505
7 301
43 43
1

Prime factors of 6020 are 2,5,7,43. Prime factorization of 6020 in exponential form is:

6020 = 22×51×71×431

∴ So by taking common prime factors GCF of 6014 and 6020 is 2

Greatest Common Factor of 6014 and 6020 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 6020

List of positive integer factors of 6020 that divides 6020 without a remainder.

1,2,4,5,7,10,14,20,28,35,43,70,86,140,172,215,301,430,602,860,1204,1505,3010,6020

Greatest Common Factor

We found the factors and prime factorization of 6014 and 6020. The biggest common factor number is the GCF number.
So the greatest common factor 6014 and 6020 is 2.

Also check out the Least Common Multiple of 6014 and 6020

Properties of GCF 6014 and 6020

(i) The GCF of 6014 and 6020 is associative

GCF of 6014 and 6020 = GCF of 6020 and 6014

Related Greatest Common Factor of 6014

Related Greatest Common Factor of 6020

Frequently Asked Questions on GCF of 6014 and 6020

1. What is the GCF of 6014 and 6020?

Answer: GCF of 6014 and 6020 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 6020?

Answer: Factors of 6020 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 43, 70, 86, 140, 172, 215, 301, 430, 602, 860, 1204, 1505, 3010, 6020. There are 24 integers that are factors of 6020. The greatest factor of 6020 is 6020.

4. How to Find the GCF of 6014 and 6020?

Answer:

Greatest Common Factor of 6014 and 6020 = 2

Step 1: Find the prime factorization of 6014

6014 = 2 x 31 x 97

Step 2: Find the prime factorization of 6020

6020 = 2 x 2 x 5 x 7 x 43

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 6020 is 2