Greatest Common Factor of 1179 and 1182

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 1179, 1182 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1179 and 1182 is 3.

GCF(1179,1182) = 3

GCF of 1179 and 1182

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

GCF of:
and

Greatest Common Factor of 1179 and 1182

GCF of 1179 and 1182 is 3

Prime Factorization of 1179


3 1179
3 393
131 131
1

Prime factors of 1179 are 3,131. Prime factorization of 1179 in exponential form is:

1179 = 32×1311

Prime Factorization of 1182


2 1182
3 591
197 197
1

Prime factors of 1182 are 2,3,197. Prime factorization of 1182 in exponential form is:

1182 = 21×31×1971

∴ So by taking common prime factors GCF of 1179 and 1182 is 3

Greatest Common Factor of 1179 and 1182 by matching factors method

Factors of 1179

List of positive integer factors of 1179 that divides 1179 without a remainder.

1,3,9,131,393,1179

Factors of 1182

List of positive integer factors of 1182 that divides 1182 without a remainder.

1,2,3,6,197,394,591,1182

Greatest Common Factor

We found the factors and prime factorization of 1179 and 1182. The biggest common factor number is the GCF number.
So the greatest common factor 1179 and 1182 is 3.

Also check out the Least Common Multiple of 1179 and 1182

Properties of GCF 1179 and 1182

(i) The GCF of 1179 and 1182 is associative

GCF of 1179 and 1182 = GCF of 1182 and 1179

Related Greatest Common Factor of 1179

Related Greatest Common Factor of 1182

Frequently Asked Questions on GCF of 1179 and 1182

1. What is the GCF of 1179 and 1182?

Answer: GCF of 1179 and 1182 is 3.

2. What are the Factors of 1179?

Answer: Factors of 1179 are 1, 3, 9, 131, 393, 1179. There are 6 integers that are factors of 1179. The greatest factor of 1179 is 1179.

3. What are the Factors of 1182?

Answer: Factors of 1182 are 1, 2, 3, 6, 197, 394, 591, 1182. There are 8 integers that are factors of 1182. The greatest factor of 1182 is 1182.

4. How to Find the GCF of 1179 and 1182?

Answer:

Greatest Common Factor of 1179 and 1182 = 3

Step 1: Find the prime factorization of 1179

1179 = 3 x 3 x 131

Step 2: Find the prime factorization of 1182

1182 = 2 x 3 x 197

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 1179 and 1182 is 3