Greatest Common Factor of 171 and 177

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 171, 177 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 171 and 177 is 3.

GCF(171,177) = 3

GCF of 171 and 177

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

GCF of:
and

Greatest Common Factor of 171 and 177

GCF of 171 and 177 is 3

Prime Factorization of 171


3 171
3 57
19 19
1

Prime factors of 171 are 3,19. Prime factorization of 171 in exponential form is:

171 = 32×191

Prime Factorization of 177


3 177
59 59
1

Prime factors of 177 are 3,59. Prime factorization of 177 in exponential form is:

177 = 31×591

∴ So by taking common prime factors GCF of 171 and 177 is 3

Greatest Common Factor of 171 and 177 by matching factors method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors and prime factorization of 171 and 177. The biggest common factor number is the GCF number.
So the greatest common factor 171 and 177 is 3.

Also check out the Least Common Multiple of 171 and 177

Properties of GCF 171 and 177

(i) The GCF of 171 and 177 is associative

GCF of 171 and 177 = GCF of 177 and 171

Related Greatest Common Factor of 171

Related Greatest Common Factor of 177

Frequently Asked Questions on GCF of 171 and 177

1. What is the GCF of 171 and 177?

Answer: GCF of 171 and 177 is 3.

2. What are the Factors of 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

3. What are the Factors of 177?

Answer: Factors of 177 are 1, 3, 59, 177. There are 4 integers that are factors of 177. The greatest factor of 177 is 177.

4. How to Find the GCF of 171 and 177?

Answer:

Greatest Common Factor of 171 and 177 = 3

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 177

177 = 3 x 59

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 171 and 177 is 3