Greatest Common Factor of 1174 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 1174, 1182 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1174 and 1182 is 2.

GCF(1174,1182) = 2

GCF of 1174 and 1182

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

GCF of:
and

Greatest Common Factor of 1174 and 1182

GCF of 1174 and 1182 is 2

Prime Factorization of 1174


2 1174
587 587
1

Prime factors of 1174 are 2,587. Prime factorization of 1174 in exponential form is:

1174 = 21×5871

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 1174 and 1182 is 2

Greatest Common Factor of 1174 and 1182 by matching factors method

Factors of 1174

List of positive integer factors of 1174 that divides 1174 without a remainder.

1,2,587,1174

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 1174 and 1182. The biggest common factor number is the GCF number.
So the greatest common factor 1174 and 1182 is 2.

Also check out the Least Common Multiple of 1174 and 1182

Properties of GCF 1174 and 1182

(i) The GCF of 1174 and 1182 is associative

GCF of 1174 and 1182 = GCF of 1182 and 1174

Related Greatest Common Factor of 1174

Related Greatest Common Factor of 1182

Frequently Asked Questions on GCF of 1174 and 1182

1. What is the GCF of 1174 and 1182?

Answer: GCF of 1174 and 1182 is 2.

2. What are the Factors of 1174?

Answer: Factors of 1174 are 1, 2, 587, 1174. There are 4 integers that are factors of 1174. The greatest factor of 1174 is 1174.

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 1174 and 1182?

Answer:

Greatest Common Factor of 1174 and 1182 = 2

Step 1: Find the prime factorization of 1174

1174 = 2 x 587

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 = 2

Step 4: Therefore, the greatest common factor of 1174 and 1182 is 2