Greatest Common Factor of 6123 and 6130

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 6123, 6130 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6123 and 6130 is 1.

GCF(6123,6130) = 1

GCF of 6123 and 6130

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

GCF of:
and

Greatest Common Factor of 6123 and 6130

GCF of 6123 and 6130 is 1

Prime Factorization of 6123


3 6123
13 2041
157 157
1

Prime factors of 6123 are 3,13,157. Prime factorization of 6123 in exponential form is:

6123 = 31×131×1571

Prime Factorization of 6130


2 6130
5 3065
613 613
1

Prime factors of 6130 are 2,5,613. Prime factorization of 6130 in exponential form is:

6130 = 21×51×6131

∴ So by taking common prime factors GCF of 6123 and 6130 is 1

Greatest Common Factor of 6123 and 6130 by matching factors method

Factors of 6123

List of positive integer factors of 6123 that divides 6123 without a remainder.

1,3,13,39,157,471,2041,6123

Factors of 6130

List of positive integer factors of 6130 that divides 6130 without a remainder.

1,2,5,10,613,1226,3065,6130

Greatest Common Factor

We found the factors and prime factorization of 6123 and 6130. The biggest common factor number is the GCF number.
So the greatest common factor 6123 and 6130 is 1.

Also check out the Least Common Multiple of 6123 and 6130

Properties of GCF 6123 and 6130

(i) The GCF of 6123 and 6130 is associative

GCF of 6123 and 6130 = GCF of 6130 and 6123

Related Greatest Common Factor of 6123

Related Greatest Common Factor of 6130

Frequently Asked Questions on GCF of 6123 and 6130

1. What is the GCF of 6123 and 6130?

Answer: GCF of 6123 and 6130 is 1.

2. What are the Factors of 6123?

Answer: Factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123. There are 8 integers that are factors of 6123. The greatest factor of 6123 is 6123.

3. What are the Factors of 6130?

Answer: Factors of 6130 are 1, 2, 5, 10, 613, 1226, 3065, 6130. There are 8 integers that are factors of 6130. The greatest factor of 6130 is 6130.

4. How to Find the GCF of 6123 and 6130?

Answer:

Greatest Common Factor of 6123 and 6130 = 1

Step 1: Find the prime factorization of 6123

6123 = 3 x 13 x 157

Step 2: Find the prime factorization of 6130

6130 = 2 x 5 x 613

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6123 and 6130 is 1