Greatest Common Factor of 180 and 183

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 180, 183 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 180 and 183 is 3.

GCF(180,183) = 3

GCF of 180 and 183

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

GCF of:
and

Greatest Common Factor of 180 and 183

GCF of 180 and 183 is 3

Prime Factorization of 180


2 180
2 90
3 45
3 15
5 5
1

Prime factors of 180 are 2,3,5. Prime factorization of 180 in exponential form is:

180 = 22×32×51

Prime Factorization of 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

∴ So by taking common prime factors GCF of 180 and 183 is 3

Greatest Common Factor of 180 and 183 by matching factors method

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Greatest Common Factor

We found the factors and prime factorization of 180 and 183. The biggest common factor number is the GCF number.
So the greatest common factor 180 and 183 is 3.

Also check out the Least Common Multiple of 180 and 183

Properties of GCF 180 and 183

(i) The GCF of 180 and 183 is associative

GCF of 180 and 183 = GCF of 183 and 180

Frequently Asked Questions on GCF of 180 and 183

1. What is the GCF of 180 and 183?

Answer: GCF of 180 and 183 is 3.

2. What are the Factors of 180?

Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.

3. What are the Factors of 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the GCF of 180 and 183?

Answer:

Greatest Common Factor of 180 and 183 = 3

Step 1: Find the prime factorization of 180

180 = 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 183

183 = 3 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 180 and 183 is 3