Greatest Common Factor of 186 and 187

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 186, 187 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 186 and 187 is 1.

GCF(186,187) = 1

GCF of 186 and 187

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

GCF of:
and

Greatest Common Factor of 186 and 187

GCF of 186 and 187 is 1

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

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 186 and 187 is 1

Greatest Common Factor of 186 and 187 by matching factors method

Factors of 186

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

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

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 186 and 187. The biggest common factor number is the GCF number.
So the greatest common factor 186 and 187 is 1.

Also check out the Least Common Multiple of 186 and 187

Properties of GCF 186 and 187

(i) The GCF of 186 and 187 is associative

GCF of 186 and 187 = GCF of 187 and 186

Related Greatest Common Factor of 186

Related Greatest Common Factor of 187

Frequently Asked Questions on GCF of 186 and 187

1. What is the GCF of 186 and 187?

Answer: GCF of 186 and 187 is 1.

2. 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.

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 186 and 187?

Answer:

Greatest Common Factor of 186 and 187 = 1

Step 1: Find the prime factorization of 186

186 = 2 x 3 x 31

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 186 and 187 is 1