Greatest Common Factor of 6123 and 6125

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, 6125 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6123 and 6125 is 1.

GCF(6123,6125) = 1

GCF of 6123 and 6125

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

GCF of:
and

Greatest Common Factor of 6123 and 6125

GCF of 6123 and 6125 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 6125


5 6125
5 1225
5 245
7 49
7 7
1

Prime factors of 6125 are 5,7. Prime factorization of 6125 in exponential form is:

6125 = 53×72

∴ So by taking common prime factors GCF of 6123 and 6125 is 1

Greatest Common Factor of 6123 and 6125 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 6125

List of positive integer factors of 6125 that divides 6125 without a remainder.

1,5,7,25,35,49,125,175,245,875,1225,6125

Greatest Common Factor

We found the factors and prime factorization of 6123 and 6125. The biggest common factor number is the GCF number.
So the greatest common factor 6123 and 6125 is 1.

Also check out the Least Common Multiple of 6123 and 6125

Properties of GCF 6123 and 6125

(i) The GCF of 6123 and 6125 is associative

GCF of 6123 and 6125 = GCF of 6125 and 6123

Related Greatest Common Factor of 6123

Related Greatest Common Factor of 6125

Frequently Asked Questions on GCF of 6123 and 6125

1. What is the GCF of 6123 and 6125?

Answer: GCF of 6123 and 6125 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 6125?

Answer: Factors of 6125 are 1, 5, 7, 25, 35, 49, 125, 175, 245, 875, 1225, 6125. There are 12 integers that are factors of 6125. The greatest factor of 6125 is 6125.

4. How to Find the GCF of 6123 and 6125?

Answer:

Greatest Common Factor of 6123 and 6125 = 1

Step 1: Find the prime factorization of 6123

6123 = 3 x 13 x 157

Step 2: Find the prime factorization of 6125

6125 = 5 x 5 x 5 x 7 x 7

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 6125 is 1