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 173, 181 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 173 and 181 is 1.
GCF(173,181) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 173
173 | 173 |
1 |
Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:
173 = 1731
Prime Factorization of 181
181 | 181 |
1 |
Prime factors of 181 are 181.Prime factorization of 181 in exponential form is:
181 = 1811
∴ So by taking common prime factors GCF of 173 and 181 is 1
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors and prime factorization of 173 and 181. The biggest common factor number is the GCF number.
So the greatest common factor 173 and 181 is 1.
Also check out the Least Common Multiple of 173 and 181
(i) The GCF of 173 and 181 is associative
GCF of 173 and 181 = GCF of 181 and 173
1. What is the GCF of 173 and 181?
Answer: GCF of 173 and 181 is 1.
2. What are the Factors of 173?
Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.
3. What are the Factors of 181?
Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.
4. How to Find the GCF of 173 and 181?
Answer:
Greatest Common Factor of 173 and 181 = 1
Step 1: Find the prime factorization of 173
173 = 173
Step 2: Find the prime factorization of 181
181 = 181
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 173 and 181 is 1