# Greatest Common Factor of 189 and 194

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 189, 194 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 189 and 194 is 1.

GCF(189,194) = 1

## GCF of 189 and 194

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

GCF of:
and

### Greatest Common Factor of 189 and 194 by Prime factorization method

Prime Factorization of 189

 3 189 3 63 3 21 7 7 1

Prime factors of 189 are 3,7. Prime factorization of 189 in exponential form is:

189 = 33×71

Prime Factorization of 194

 2 194 97 97 1

Prime factors of 194 are 2,97. Prime factorization of 194 in exponential form is:

194 = 21×971

∴ So by taking common prime factors GCF of 189 and 194 is 1

### Greatest Common Factor of 189 and 194 by matching factors method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Greatest Common Factor

We found the factors and prime factorization of 189 and 194. The biggest common factor number is the GCF number.
So the greatest common factor 189 and 194 is 1.

Also check out the Least Common Multiple of 189 and 194

### Properties of GCF 189 and 194

(i) The GCF of 189 and 194 is associative

GCF of 189 and 194 = GCF of 194 and 189

### Frequently Asked Questions on GCF of 189 and 194

1. What is the GCF of 189 and 194?

Answer: GCF of 189 and 194 is 1.

2. What are the Factors of 189?

Answer: Factors of 189 are 1, 3, 7, 9, 21, 27, 63, 189. There are 8 integers that are factors of 189. The greatest factor of 189 is 189.

3. What are the Factors of 194?

Answer: Factors of 194 are 1, 2, 97, 194. There are 4 integers that are factors of 194. The greatest factor of 194 is 194.

4. How to Find the GCF of 189 and 194?

Greatest Common Factor of 189 and 194 = 1

Step 1: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 194

194 = 2 x 97

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 189 and 194 is 1