# Greatest Common Factor of 185 and 189

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 185, 189 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 185 and 189 is 1.

GCF(185,189) = 1

## GCF of 185 and 189

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

GCF of:
and

### Greatest Common Factor of 185 and 189 by Prime factorization method

Prime Factorization of 185

 5 185 37 37 1

Prime factors of 185 are 5,37. Prime factorization of 185 in exponential form is:

185 = 51×371

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

∴ So by taking common prime factors GCF of 185 and 189 is 1

### Greatest Common Factor of 185 and 189 by matching factors method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 189

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

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

Greatest Common Factor

We found the factors and prime factorization of 185 and 189. The biggest common factor number is the GCF number.
So the greatest common factor 185 and 189 is 1.

Also check out the Least Common Multiple of 185 and 189

### Properties of GCF 185 and 189

(i) The GCF of 185 and 189 is associative

GCF of 185 and 189 = GCF of 189 and 185

### Frequently Asked Questions on GCF of 185 and 189

1. What is the GCF of 185 and 189?

Answer: GCF of 185 and 189 is 1.

2. What are the Factors of 185?

Answer: Factors of 185 are 1, 5, 37, 185. There are 4 integers that are factors of 185. The greatest factor of 185 is 185.

3. 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.

4. How to Find the GCF of 185 and 189?

Answer:

Greatest Common Factor of 185 and 189 = 1

Step 1: Find the prime factorization of 185

185 = 5 x 37

Step 2: Find the prime factorization of 189

189 = 3 x 3 x 3 x 7

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 185 and 189 is 1