Greatest Common Factor of 1180 and 1187

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, 1187 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1180 and 1187 is 1.

GCF(1180,1187) = 1

GCF of 1180 and 1187

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

GCF of:
and

Greatest Common Factor of 1180 and 1187

GCF of 1180 and 1187 is 1

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 1187


1187 1187
1

Prime factors of 1187 are 1187. Prime factorization of 1187 in exponential form is:

1187 = 11871

∴ So by taking common prime factors GCF of 1180 and 1187 is 1

Greatest Common Factor of 1180 and 1187 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 1187

List of positive integer factors of 1187 that divides 1187 without a remainder.

1,1187

Greatest Common Factor

We found the factors and prime factorization of 1180 and 1187. The biggest common factor number is the GCF number.
So the greatest common factor 1180 and 1187 is 1.

Also check out the Least Common Multiple of 1180 and 1187

Properties of GCF 1180 and 1187

(i) The GCF of 1180 and 1187 is associative

GCF of 1180 and 1187 = GCF of 1187 and 1180

Related Greatest Common Factor of 1180

Related Greatest Common Factor of 1187

Frequently Asked Questions on GCF of 1180 and 1187

1. What is the GCF of 1180 and 1187?

Answer: GCF of 1180 and 1187 is 1.

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 1187?

Answer: Factors of 1187 are 1, 1187. There are 2 integers that are factors of 1187. The greatest factor of 1187 is 1187.

4. How to Find the GCF of 1180 and 1187?

Answer:

Greatest Common Factor of 1180 and 1187 = 1

Step 1: Find the prime factorization of 1180

1180 = 2 x 2 x 5 x 59

Step 2: Find the prime factorization of 1187

1187 = 1187

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 1180 and 1187 is 1