Greatest Common Factor of 6120 and 6126

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 6120, 6126 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6120 and 6126 is 6.

GCF(6120,6126) = 6

GCF of 6120 and 6126

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

GCF of:
and

Greatest Common Factor of 6120 and 6126

GCF of 6120 and 6126 is 6

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

Prime Factorization of 6126


2 6126
3 3063
1021 1021
1

Prime factors of 6126 are 2,3,1021. Prime factorization of 6126 in exponential form is:

6126 = 21×31×10211

∴ So by taking common prime factors GCF of 6120 and 6126 is 6

Greatest Common Factor of 6120 and 6126 by matching factors method

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

Factors of 6126

List of positive integer factors of 6126 that divides 6126 without a remainder.

1,2,3,6,1021,2042,3063,6126

Greatest Common Factor

We found the factors and prime factorization of 6120 and 6126. The biggest common factor number is the GCF number.
So the greatest common factor 6120 and 6126 is 6.

Also check out the Least Common Multiple of 6120 and 6126

Properties of GCF 6120 and 6126

(i) The GCF of 6120 and 6126 is associative

GCF of 6120 and 6126 = GCF of 6126 and 6120

Related Greatest Common Factor of 6120

Related Greatest Common Factor of 6126

Frequently Asked Questions on GCF of 6120 and 6126

1. What is the GCF of 6120 and 6126?

Answer: GCF of 6120 and 6126 is 6.

2. 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.

3. What are the Factors of 6126?

Answer: Factors of 6126 are 1, 2, 3, 6, 1021, 2042, 3063, 6126. There are 8 integers that are factors of 6126. The greatest factor of 6126 is 6126.

4. How to Find the GCF of 6120 and 6126?

Answer:

Greatest Common Factor of 6120 and 6126 = 6

Step 1: Find the prime factorization of 6120

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

Step 2: Find the prime factorization of 6126

6126 = 2 x 3 x 1021

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 6120 and 6126 is 6