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 180, 187 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 180 and 187 is 1.
GCF(180,187) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 180
2 | 180 |
2 | 90 |
3 | 45 |
3 | 15 |
5 | 5 |
1 |
Prime factors of 180 are 2,3,5. Prime factorization of 180 in exponential form is:
180 = 22×32×51
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 180 and 187 is 1
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
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 180 and 187. The biggest common factor number is the GCF number.
So the greatest common factor 180 and 187 is 1.
Also check out the Least Common Multiple of 180 and 187
(i) The GCF of 180 and 187 is associative
GCF of 180 and 187 = GCF of 187 and 180
1. What is the GCF of 180 and 187?
Answer: GCF of 180 and 187 is 1.
2. What are the Factors of 180?
Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.
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 180 and 187?
Answer:
Greatest Common Factor of 180 and 187 = 1
Step 1: Find the prime factorization of 180
180 = 2 x 2 x 3 x 3 x 5
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 180 and 187 is 1