Greatest Common Factor of 6114 and 6120

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 6114, 6120 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6114 and 6120 is 6.

GCF(6114,6120) = 6

GCF of 6114 and 6120

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

GCF of:
and

Greatest Common Factor of 6114 and 6120

GCF of 6114 and 6120 is 6

Prime Factorization of 6114


2 6114
3 3057
1019 1019
1

Prime factors of 6114 are 2,3,1019. Prime factorization of 6114 in exponential form is:

6114 = 21×31×10191

Prime Factorization of 6120


2 6120
2 3060
2 1530
3 765
3 255
5 85
17 17
1

Prime factors of 6120 are 2,3,5,17. Prime factorization of 6120 in exponential form is:

6120 = 23×32×51×171

∴ So by taking common prime factors GCF of 6114 and 6120 is 6

Greatest Common Factor of 6114 and 6120 by matching factors method

Factors of 6114

List of positive integer factors of 6114 that divides 6114 without a remainder.

1,2,3,6,1019,2038,3057,6114

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120

Greatest Common Factor

We found the factors and prime factorization of 6114 and 6120. The biggest common factor number is the GCF number.
So the greatest common factor 6114 and 6120 is 6.

Also check out the Least Common Multiple of 6114 and 6120

Properties of GCF 6114 and 6120

(i) The GCF of 6114 and 6120 is associative

GCF of 6114 and 6120 = GCF of 6120 and 6114

Related Greatest Common Factor of 6114

Related Greatest Common Factor of 6120

Frequently Asked Questions on GCF of 6114 and 6120

1. What is the GCF of 6114 and 6120?

Answer: GCF of 6114 and 6120 is 6.

2. What are the Factors of 6114?

Answer: Factors of 6114 are 1, 2, 3, 6, 1019, 2038, 3057, 6114. There are 8 integers that are factors of 6114. The greatest factor of 6114 is 6114.

3. What are the Factors of 6120?

Answer: Factors of 6120 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 17, 18, 20, 24, 30, 34, 36, 40, 45, 51, 60, 68, 72, 85, 90, 102, 120, 136, 153, 170, 180, 204, 255, 306, 340, 360, 408, 510, 612, 680, 765, 1020, 1224, 1530, 2040, 3060, 6120. There are 48 integers that are factors of 6120. The greatest factor of 6120 is 6120.

4. How to Find the GCF of 6114 and 6120?

Answer:

Greatest Common Factor of 6114 and 6120 = 6

Step 1: Find the prime factorization of 6114

6114 = 2 x 3 x 1019

Step 2: Find the prime factorization of 6120

6120 = 2 x 2 x 2 x 3 x 3 x 5 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6114 and 6120 is 6