Greatest Common Factor of 117 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 117, 125 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 117 and 125 is 1.

GCF(117,125) = 1

GCF of 117 and 125

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

GCF of:
and

Greatest Common Factor of 117 and 125

GCF of 117 and 125 is 1

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

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 117 and 125 is 1

Greatest Common Factor of 117 and 125 by matching factors method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

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 117 and 125. The biggest common factor number is the GCF number.
So the greatest common factor 117 and 125 is 1.

Also check out the Least Common Multiple of 117 and 125

Properties of GCF 117 and 125

(i) The GCF of 117 and 125 is associative

GCF of 117 and 125 = GCF of 125 and 117

Related Greatest Common Factor of 117

Related Greatest Common Factor of 125

Frequently Asked Questions on GCF of 117 and 125

1. What is the GCF of 117 and 125?

Answer: GCF of 117 and 125 is 1.

2. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

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 117 and 125?

Answer:

Greatest Common Factor of 117 and 125 = 1

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

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 117 and 125 is 1