Greatest Common Factor of 120 and 122

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 120, 122 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 120 and 122 is 2.

GCF(120,122) = 2

GCF of 120 and 122

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

GCF of:
and

Greatest Common Factor of 120 and 122

GCF of 120 and 122 is 2

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

Prime Factorization of 122


2 122
61 61
1

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 21×611

∴ So by taking common prime factors GCF of 120 and 122 is 2

Greatest Common Factor of 120 and 122 by matching factors method

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

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors and prime factorization of 120 and 122. The biggest common factor number is the GCF number.
So the greatest common factor 120 and 122 is 2.

Also check out the Least Common Multiple of 120 and 122

Properties of GCF 120 and 122

(i) The GCF of 120 and 122 is associative

GCF of 120 and 122 = GCF of 122 and 120

Related Greatest Common Factor of 120

Related Greatest Common Factor of 122

Frequently Asked Questions on GCF of 120 and 122

1. What is the GCF of 120 and 122?

Answer: GCF of 120 and 122 is 2.

2. 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.

3. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

4. How to Find the GCF of 120 and 122?

Answer:

Greatest Common Factor of 120 and 122 = 2

Step 1: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 122

122 = 2 x 61

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

GCF = 2

Step 4: Therefore, the greatest common factor of 120 and 122 is 2