# Greatest Common Factor of 185 and 186

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 185, 186 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 185 and 186 is 1.

GCF(185,186) = 1

## GCF of 185 and 186

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

GCF of:
and

### Greatest Common Factor of 185 and 186 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 186

 2 186 3 93 31 31 1

Prime factors of 186 are 2,3,31. Prime factorization of 186 in exponential form is:

186 = 21×31×311

∴ So by taking common prime factors GCF of 185 and 186 is 1

### Greatest Common Factor of 185 and 186 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 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Greatest Common Factor

We found the factors and prime factorization of 185 and 186. The biggest common factor number is the GCF number.
So the greatest common factor 185 and 186 is 1.

Also check out the Least Common Multiple of 185 and 186

### Properties of GCF 185 and 186

(i) The GCF of 185 and 186 is associative

GCF of 185 and 186 = GCF of 186 and 185

### Frequently Asked Questions on GCF of 185 and 186

1. What is the GCF of 185 and 186?

Answer: GCF of 185 and 186 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 186?

Answer: Factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186. There are 8 integers that are factors of 186. The greatest factor of 186 is 186.

4. How to Find the GCF of 185 and 186?

Answer:

Greatest Common Factor of 185 and 186 = 1

Step 1: Find the prime factorization of 185

185 = 5 x 37

Step 2: Find the prime factorization of 186

186 = 2 x 3 x 31

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 186 is 1