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 9185, 9189 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9185 and 9189 is 1.
GCF(9185,9189) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9185
5 | 9185 |
11 | 1837 |
167 | 167 |
1 |
Prime factors of 9185 are 5,11,167. Prime factorization of 9185 in exponential form is:
9185 = 51×111×1671
Prime Factorization of 9189
3 | 9189 |
3 | 3063 |
1021 | 1021 |
1 |
Prime factors of 9189 are 3,1021. Prime factorization of 9189 in exponential form is:
9189 = 32×10211
∴ So by taking common prime factors GCF of 9185 and 9189 is 1
Factors of 9185
List of positive integer factors of 9185 that divides 9185 without a remainder.
1,5,11,55,167,835,1837,9185
Factors of 9189
List of positive integer factors of 9189 that divides 9189 without a remainder.
1,3,9,1021,3063,9189
Greatest Common Factor
We found the factors and prime factorization of 9185 and 9189. The biggest common factor number is the GCF number.
So the greatest common factor 9185 and 9189 is 1.
Also check out the Least Common Multiple of 9185 and 9189
(i) The GCF of 9185 and 9189 is associative
GCF of 9185 and 9189 = GCF of 9189 and 9185
1. What is the GCF of 9185 and 9189?
Answer: GCF of 9185 and 9189 is 1.
2. What are the Factors of 9185?
Answer: Factors of 9185 are 1, 5, 11, 55, 167, 835, 1837, 9185. There are 8 integers that are factors of 9185. The greatest factor of 9185 is 9185.
3. What are the Factors of 9189?
Answer: Factors of 9189 are 1, 3, 9, 1021, 3063, 9189. There are 6 integers that are factors of 9189. The greatest factor of 9189 is 9189.
4. How to Find the GCF of 9185 and 9189?
Answer:
Greatest Common Factor of 9185 and 9189 = 1
Step 1: Find the prime factorization of 9185
9185 = 5 x 11 x 167
Step 2: Find the prime factorization of 9189
9189 = 3 x 3 x 1021
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 9185 and 9189 is 1