Greatest Common Factor of 1185 and 1190

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 1185, 1190 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1185 and 1190 is 5.

GCF(1185,1190) = 5

GCF of 1185 and 1190

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

GCF of:
and

Greatest Common Factor of 1185 and 1190

GCF of 1185 and 1190 is 5

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

Prime Factorization of 1190


2 1190
5 595
7 119
17 17
1

Prime factors of 1190 are 2,5,7,17. Prime factorization of 1190 in exponential form is:

1190 = 21×51×71×171

∴ So by taking common prime factors GCF of 1185 and 1190 is 5

Greatest Common Factor of 1185 and 1190 by matching factors method

Factors of 1185

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

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

Factors of 1190

List of positive integer factors of 1190 that divides 1190 without a remainder.

1,2,5,7,10,14,17,34,35,70,85,119,170,238,595,1190

Greatest Common Factor

We found the factors and prime factorization of 1185 and 1190. The biggest common factor number is the GCF number.
So the greatest common factor 1185 and 1190 is 5.

Also check out the Least Common Multiple of 1185 and 1190

Properties of GCF 1185 and 1190

(i) The GCF of 1185 and 1190 is associative

GCF of 1185 and 1190 = GCF of 1190 and 1185

Related Greatest Common Factor of 1185

Related Greatest Common Factor of 1190

Frequently Asked Questions on GCF of 1185 and 1190

1. What is the GCF of 1185 and 1190?

Answer: GCF of 1185 and 1190 is 5.

2. 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.

3. What are the Factors of 1190?

Answer: Factors of 1190 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190. There are 16 integers that are factors of 1190. The greatest factor of 1190 is 1190.

4. How to Find the GCF of 1185 and 1190?

Answer:

Greatest Common Factor of 1185 and 1190 = 5

Step 1: Find the prime factorization of 1185

1185 = 3 x 5 x 79

Step 2: Find the prime factorization of 1190

1190 = 2 x 5 x 7 x 17

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 1185 and 1190 is 5