Greatest Common Factor of 1196 and 1198

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 1196, 1198 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1196 and 1198 is 2.

GCF(1196,1198) = 2

GCF of 1196 and 1198

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

GCF of:
and

Greatest Common Factor of 1196 and 1198

GCF of 1196 and 1198 is 2

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

Prime Factorization of 1198


2 1198
599 599
1

Prime factors of 1198 are 2,599. Prime factorization of 1198 in exponential form is:

1198 = 21×5991

∴ So by taking common prime factors GCF of 1196 and 1198 is 2

Greatest Common Factor of 1196 and 1198 by matching factors method

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

Factors of 1198

List of positive integer factors of 1198 that divides 1198 without a remainder.

1,2,599,1198

Greatest Common Factor

We found the factors and prime factorization of 1196 and 1198. The biggest common factor number is the GCF number.
So the greatest common factor 1196 and 1198 is 2.

Also check out the Least Common Multiple of 1196 and 1198

Properties of GCF 1196 and 1198

(i) The GCF of 1196 and 1198 is associative

GCF of 1196 and 1198 = GCF of 1198 and 1196

Related Greatest Common Factor of 1196

Related Greatest Common Factor of 1198

Frequently Asked Questions on GCF of 1196 and 1198

1. What is the GCF of 1196 and 1198?

Answer: GCF of 1196 and 1198 is 2.

2. 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.

3. What are the Factors of 1198?

Answer: Factors of 1198 are 1, 2, 599, 1198. There are 4 integers that are factors of 1198. The greatest factor of 1198 is 1198.

4. How to Find the GCF of 1196 and 1198?

Answer:

Greatest Common Factor of 1196 and 1198 = 2

Step 1: Find the prime factorization of 1196

1196 = 2 x 2 x 13 x 23

Step 2: Find the prime factorization of 1198

1198 = 2 x 599

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 1196 and 1198 is 2