Greatest Common Factor of 1180 and 1185

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 1180, 1185 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1180 and 1185 is 5.

GCF(1180,1185) = 5

GCF of 1180 and 1185

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

GCF of:
and

Greatest Common Factor of 1180 and 1185

GCF of 1180 and 1185 is 5

Prime Factorization of 1180


2 1180
2 590
5 295
59 59
1

Prime factors of 1180 are 2,5,59. Prime factorization of 1180 in exponential form is:

1180 = 22×51×591

Prime Factorization of 1185


3 1185
5 395
79 79
1

Prime factors of 1185 are 3,5,79. Prime factorization of 1185 in exponential form is:

1185 = 31×51×791

∴ So by taking common prime factors GCF of 1180 and 1185 is 5

Greatest Common Factor of 1180 and 1185 by matching factors method

Factors of 1180

List of positive integer factors of 1180 that divides 1180 without a remainder.

1,2,4,5,10,20,59,118,236,295,590,1180

Factors of 1185

List of positive integer factors of 1185 that divides 1185 without a remainder.

1,3,5,15,79,237,395,1185

Greatest Common Factor

We found the factors and prime factorization of 1180 and 1185. The biggest common factor number is the GCF number.
So the greatest common factor 1180 and 1185 is 5.

Also check out the Least Common Multiple of 1180 and 1185

Properties of GCF 1180 and 1185

(i) The GCF of 1180 and 1185 is associative

GCF of 1180 and 1185 = GCF of 1185 and 1180

Related Greatest Common Factor of 1180

Related Greatest Common Factor of 1185

Frequently Asked Questions on GCF of 1180 and 1185

1. What is the GCF of 1180 and 1185?

Answer: GCF of 1180 and 1185 is 5.

2. What are the Factors of 1180?

Answer: Factors of 1180 are 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180. There are 12 integers that are factors of 1180. The greatest factor of 1180 is 1180.

3. What are the Factors of 1185?

Answer: Factors of 1185 are 1, 3, 5, 15, 79, 237, 395, 1185. There are 8 integers that are factors of 1185. The greatest factor of 1185 is 1185.

4. How to Find the GCF of 1180 and 1185?

Answer:

Greatest Common Factor of 1180 and 1185 = 5

Step 1: Find the prime factorization of 1180

1180 = 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 1185

1185 = 3 x 5 x 79

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 1180 and 1185 is 5