# Greatest Common Factor of 185 and 187

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 185, 187 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 185 and 187 is 1.

GCF(185,187) = 1

## GCF of 185 and 187

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

GCF of:
and

### Greatest Common Factor of 185 and 187 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 187

 11 187 17 17 1

Prime factors of 187 are 11,17. Prime factorization of 187 in exponential form is:

187 = 111×171

∴ So by taking common prime factors GCF of 185 and 187 is 1

### Greatest Common Factor of 185 and 187 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 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors and prime factorization of 185 and 187. The biggest common factor number is the GCF number.
So the greatest common factor 185 and 187 is 1.

Also check out the Least Common Multiple of 185 and 187

### Properties of GCF 185 and 187

(i) The GCF of 185 and 187 is associative

GCF of 185 and 187 = GCF of 187 and 185

### Frequently Asked Questions on GCF of 185 and 187

1. What is the GCF of 185 and 187?

Answer: GCF of 185 and 187 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 187?

Answer: Factors of 187 are 1, 11, 17, 187. There are 4 integers that are factors of 187. The greatest factor of 187 is 187.

4. How to Find the GCF of 185 and 187?

Answer:

Greatest Common Factor of 185 and 187 = 1

Step 1: Find the prime factorization of 185

185 = 5 x 37

Step 2: Find the prime factorization of 187

187 = 11 x 17

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 187 is 1