Greatest Common Factor of 1192 and 1196

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 1192, 1196 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1192 and 1196 is 4.

GCF(1192,1196) = 4

GCF of 1192 and 1196

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

GCF of:
and

Greatest Common Factor of 1192 and 1196

GCF of 1192 and 1196 is 4

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

Prime Factorization of 1196


2 1196
2 598
13 299
23 23
1

Prime factors of 1196 are 2,13,23. Prime factorization of 1196 in exponential form is:

1196 = 22×131×231

∴ So by taking common prime factors GCF of 1192 and 1196 is 4

Greatest Common Factor of 1192 and 1196 by matching factors method

Factors of 1192

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

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

Factors of 1196

List of positive integer factors of 1196 that divides 1196 without a remainder.

1,2,4,13,23,26,46,52,92,299,598,1196

Greatest Common Factor

We found the factors and prime factorization of 1192 and 1196. The biggest common factor number is the GCF number.
So the greatest common factor 1192 and 1196 is 4.

Also check out the Least Common Multiple of 1192 and 1196

Properties of GCF 1192 and 1196

(i) The GCF of 1192 and 1196 is associative

GCF of 1192 and 1196 = GCF of 1196 and 1192

Related Greatest Common Factor of 1192

Related Greatest Common Factor of 1196

Frequently Asked Questions on GCF of 1192 and 1196

1. What is the GCF of 1192 and 1196?

Answer: GCF of 1192 and 1196 is 4.

2. 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.

3. What are the Factors of 1196?

Answer: Factors of 1196 are 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196. There are 12 integers that are factors of 1196. The greatest factor of 1196 is 1196.

4. How to Find the GCF of 1192 and 1196?

Answer:

Greatest Common Factor of 1192 and 1196 = 4

Step 1: Find the prime factorization of 1192

1192 = 2 x 2 x 2 x 149

Step 2: Find the prime factorization of 1196

1196 = 2 x 2 x 13 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1192 and 1196 is 4