Greatest Common Factor of 115 and 120

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 115, 120 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 115 and 120 is 5.

GCF(115,120) = 5

GCF of 115 and 120

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

GCF of:
and

Greatest Common Factor of 115 and 120

GCF of 115 and 120 is 5

Prime Factorization of 115


5 115
23 23
1

Prime factors of 115 are 5,23. Prime factorization of 115 in exponential form is:

115 = 51×231

Prime Factorization of 120


2 120
2 60
2 30
3 15
5 5
1

Prime factors of 120 are 2,3,5. Prime factorization of 120 in exponential form is:

120 = 23×31×51

∴ So by taking common prime factors GCF of 115 and 120 is 5

Greatest Common Factor of 115 and 120 by matching factors method

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors and prime factorization of 115 and 120. The biggest common factor number is the GCF number.
So the greatest common factor 115 and 120 is 5.

Also check out the Least Common Multiple of 115 and 120

Properties of GCF 115 and 120

(i) The GCF of 115 and 120 is associative

GCF of 115 and 120 = GCF of 120 and 115

Related Greatest Common Factor of 115

Related Greatest Common Factor of 120

Frequently Asked Questions on GCF of 115 and 120

1. What is the GCF of 115 and 120?

Answer: GCF of 115 and 120 is 5.

2. What are the Factors of 115?

Answer: Factors of 115 are 1, 5, 23, 115. There are 4 integers that are factors of 115. The greatest factor of 115 is 115.

3. What are the Factors of 120?

Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.

4. How to Find the GCF of 115 and 120?

Answer:

Greatest Common Factor of 115 and 120 = 5

Step 1: Find the prime factorization of 115

115 = 5 x 23

Step 2: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

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 115 and 120 is 5