Greatest Common Factor of 196 and 199

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 196, 199 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 196 and 199 is 1.

GCF(196,199) = 1

GCF of 196 and 199

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

GCF of:
and

Greatest Common Factor of 196 and 199

GCF of 196 and 199 is 1

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 199


199 199
1

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 1991

∴ So by taking common prime factors GCF of 196 and 199 is 1

Greatest Common Factor of 196 and 199 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 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors and prime factorization of 196 and 199. The biggest common factor number is the GCF number.
So the greatest common factor 196 and 199 is 1.

Also check out the Least Common Multiple of 196 and 199

Properties of GCF 196 and 199

(i) The GCF of 196 and 199 is associative

GCF of 196 and 199 = GCF of 199 and 196

Related Greatest Common Factor of 196

Related Greatest Common Factor of 199

Frequently Asked Questions on GCF of 196 and 199

1. What is the GCF of 196 and 199?

Answer: GCF of 196 and 199 is 1.

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 199?

Answer: Factors of 199 are 1, 199. There are 2 integers that are factors of 199. The greatest factor of 199 is 199.

4. How to Find the GCF of 196 and 199?

Answer:

Greatest Common Factor of 196 and 199 = 1

Step 1: Find the prime factorization of 196

196 = 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 199

199 = 199

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 196 and 199 is 1