Greatest Common Factor of 125 and 130

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 125, 130 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 125 and 130 is 5.

GCF(125,130) = 5

GCF of 125 and 130

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

GCF of:
and

Greatest Common Factor of 125 and 130

GCF of 125 and 130 is 5

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

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2.Prime factorization of 130 in exponential form is:

130 = 21×51×131

∴ So by taking common prime factors GCF of 125 and 130 is 5

Greatest Common Factor of 125 and 130 by matching factors method

Factors of 125

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

1,5,25,125

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors and prime factorization of 125 and 130. The biggest common factor number is the GCF number.
So the greatest common factor 125 and 130 is 5.

Also check out the Least Common Multiple of 125 and 130

Properties of GCF 125 and 130

(i) The GCF of 125 and 130 is associative

GCF of 125 and 130 = GCF of 130 and 125

Related Greatest Common Factor of 125

Related Greatest Common Factor of 130

Frequently Asked Questions on GCF of 125 and 130

1. What is the GCF of 125 and 130?

Answer: GCF of 125 and 130 is 5.

2. 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.

3. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the GCF of 125 and 130?

Answer:

Greatest Common Factor of 125 and 130 = 5

Step 1: Find the prime factorization of 125

125 = 5 x 5 x 5

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

GCF = 5

Step 4: Therefore, the greatest common factor of 125 and 130 is 5