Greatest Common Factor of 123 and 125

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 123, 125 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 123 and 125 is 1.

GCF(123,125) = 1

GCF of 123 and 125

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

GCF of:
and

Greatest Common Factor of 123 and 125

GCF of 123 and 125 is 1

Prime Factorization of 123


3 123
41 41
1

Prime factors of 123 are 3,41. Prime factorization of 123 in exponential form is:

123 = 31×411

Prime Factorization of 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

∴ So by taking common prime factors GCF of 123 and 125 is 1

Greatest Common Factor of 123 and 125 by matching factors method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors and prime factorization of 123 and 125. The biggest common factor number is the GCF number.
So the greatest common factor 123 and 125 is 1.

Also check out the Least Common Multiple of 123 and 125

Properties of GCF 123 and 125

(i) The GCF of 123 and 125 is associative

GCF of 123 and 125 = GCF of 125 and 123

Related Greatest Common Factor of 123

Related Greatest Common Factor of 125

Frequently Asked Questions on GCF of 123 and 125

1. What is the GCF of 123 and 125?

Answer: GCF of 123 and 125 is 1.

2. What are the Factors of 123?

Answer: Factors of 123 are 1, 3, 41, 123. There are 4 integers that are factors of 123. The greatest factor of 123 is 123.

3. What are the Factors of 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

4. How to Find the GCF of 123 and 125?

Answer:

Greatest Common Factor of 123 and 125 = 1

Step 1: Find the prime factorization of 123

123 = 3 x 41

Step 2: Find the prime factorization of 125

125 = 5 x 5 x 5

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 123 and 125 is 1