Greatest Common Factor of 1186 and 1192

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 1186, 1192 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1186 and 1192 is 2.

GCF(1186,1192) = 2

GCF of 1186 and 1192

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

GCF of:
and

Greatest Common Factor of 1186 and 1192

GCF of 1186 and 1192 is 2

Prime Factorization of 1186


2 1186
593 593
1

Prime factors of 1186 are 2,593. Prime factorization of 1186 in exponential form is:

1186 = 21×5931

Prime Factorization of 1192


2 1192
2 596
2 298
149 149
1

Prime factors of 1192 are 2,149. Prime factorization of 1192 in exponential form is:

1192 = 23×1491

∴ So by taking common prime factors GCF of 1186 and 1192 is 2

Greatest Common Factor of 1186 and 1192 by matching factors method

Factors of 1186

List of positive integer factors of 1186 that divides 1186 without a remainder.

1,2,593,1186

Factors of 1192

List of positive integer factors of 1192 that divides 1192 without a remainder.

1,2,4,8,149,298,596,1192

Greatest Common Factor

We found the factors and prime factorization of 1186 and 1192. The biggest common factor number is the GCF number.
So the greatest common factor 1186 and 1192 is 2.

Also check out the Least Common Multiple of 1186 and 1192

Properties of GCF 1186 and 1192

(i) The GCF of 1186 and 1192 is associative

GCF of 1186 and 1192 = GCF of 1192 and 1186

Related Greatest Common Factor of 1186

Related Greatest Common Factor of 1192

Frequently Asked Questions on GCF of 1186 and 1192

1. What is the GCF of 1186 and 1192?

Answer: GCF of 1186 and 1192 is 2.

2. What are the Factors of 1186?

Answer: Factors of 1186 are 1, 2, 593, 1186. There are 4 integers that are factors of 1186. The greatest factor of 1186 is 1186.

3. What are the Factors of 1192?

Answer: Factors of 1192 are 1, 2, 4, 8, 149, 298, 596, 1192. There are 8 integers that are factors of 1192. The greatest factor of 1192 is 1192.

4. How to Find the GCF of 1186 and 1192?

Answer:

Greatest Common Factor of 1186 and 1192 = 2

Step 1: Find the prime factorization of 1186

1186 = 2 x 593

Step 2: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

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 1186 and 1192 is 2