Greatest Common Factor of 187 and 191

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 187, 191 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 187 and 191 is 1.

GCF(187,191) = 1

GCF of 187 and 191

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

GCF of:
and

Greatest Common Factor of 187 and 191

GCF of 187 and 191 is 1

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

Prime Factorization of 191


191 191
1

Prime factors of 191 are 191. Prime factorization of 191 in exponential form is:

191 = 1911

∴ So by taking common prime factors GCF of 187 and 191 is 1

Greatest Common Factor of 187 and 191 by matching factors method

Factors of 187

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

1,11,17,187

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Greatest Common Factor

We found the factors and prime factorization of 187 and 191. The biggest common factor number is the GCF number.
So the greatest common factor 187 and 191 is 1.

Also check out the Least Common Multiple of 187 and 191

Properties of GCF 187 and 191

(i) The GCF of 187 and 191 is associative

GCF of 187 and 191 = GCF of 191 and 187

Related Greatest Common Factor of 187

Related Greatest Common Factor of 191

Frequently Asked Questions on GCF of 187 and 191

1. What is the GCF of 187 and 191?

Answer: GCF of 187 and 191 is 1.

2. 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.

3. What are the Factors of 191?

Answer: Factors of 191 are 1, 191. There are 2 integers that are factors of 191. The greatest factor of 191 is 191.

4. How to Find the GCF of 187 and 191?

Answer:

Greatest Common Factor of 187 and 191 = 1

Step 1: Find the prime factorization of 187

187 = 11 x 17

Step 2: Find the prime factorization of 191

191 = 191

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 187 and 191 is 1