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 9158, 9166 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9158 and 9166 is 2.
GCF(9158,9166) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9158
2 | 9158 |
19 | 4579 |
241 | 241 |
1 |
Prime factors of 9158 are 2,19,241. Prime factorization of 9158 in exponential form is:
9158 = 21×191×2411
Prime Factorization of 9166
2 | 9166 |
4583 | 4583 |
1 |
Prime factors of 9166 are 2,4583. Prime factorization of 9166 in exponential form is:
9166 = 21×45831
∴ So by taking common prime factors GCF of 9158 and 9166 is 2
Factors of 9158
List of positive integer factors of 9158 that divides 9158 without a remainder.
1,2,19,38,241,482,4579,9158
Factors of 9166
List of positive integer factors of 9166 that divides 9166 without a remainder.
1,2,4583,9166
Greatest Common Factor
We found the factors and prime factorization of 9158 and 9166. The biggest common factor number is the GCF number.
So the greatest common factor 9158 and 9166 is 2.
Also check out the Least Common Multiple of 9158 and 9166
(i) The GCF of 9158 and 9166 is associative
GCF of 9158 and 9166 = GCF of 9166 and 9158
1. What is the GCF of 9158 and 9166?
Answer: GCF of 9158 and 9166 is 2.
2. What are the Factors of 9158?
Answer: Factors of 9158 are 1, 2, 19, 38, 241, 482, 4579, 9158. There are 8 integers that are factors of 9158. The greatest factor of 9158 is 9158.
3. What are the Factors of 9166?
Answer: Factors of 9166 are 1, 2, 4583, 9166. There are 4 integers that are factors of 9166. The greatest factor of 9166 is 9166.
4. How to Find the GCF of 9158 and 9166?
Answer:
Greatest Common Factor of 9158 and 9166 = 2
Step 1: Find the prime factorization of 9158
9158 = 2 x 19 x 241
Step 2: Find the prime factorization of 9166
9166 = 2 x 4583
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9158 and 9166 is 2