# Greatest Common Factor of 196 and 198

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 196, 198 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 196 and 198 is 2.

GCF(196,198) = 2

## GCF of 196 and 198

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

GCF of:
and

### Greatest Common Factor of 196 and 198 by Prime factorization method

Prime Factorization of 196

 2 196 2 98 7 49 7 7 1

Prime factors of 196 are 2,7. Prime factorization of 196 in exponential form is:

196 = 22×72

Prime Factorization of 198

 2 198 3 99 3 33 11 11 1

Prime factors of 198 are 2,3,11. Prime factorization of 198 in exponential form is:

198 = 21×32×111

∴ So by taking common prime factors GCF of 196 and 198 is 2

### Greatest Common Factor of 196 and 198 by matching factors method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors and prime factorization of 196 and 198. The biggest common factor number is the GCF number.
So the greatest common factor 196 and 198 is 2.

Also check out the Least Common Multiple of 196 and 198

### Properties of GCF 196 and 198

(i) The GCF of 196 and 198 is associative

GCF of 196 and 198 = GCF of 198 and 196

### Frequently Asked Questions on GCF of 196 and 198

1. What is the GCF of 196 and 198?

Answer: GCF of 196 and 198 is 2.

2. What are the Factors of 196?

Answer: Factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196. There are 9 integers that are factors of 196. The greatest factor of 196 is 196.

3. What are the Factors of 198?

Answer: Factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198. There are 12 integers that are factors of 198. The greatest factor of 198 is 198.

4. How to Find the GCF of 196 and 198?

Greatest Common Factor of 196 and 198 = 2

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 198

198 = 2 x 3 x 3 x 11

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 196 and 198 is 2 