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 34158, 34165 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 34158 and 34165 is 1.
GCF(34158,34165) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 34158
2 | 34158 |
3 | 17079 |
5693 | 5693 |
1 |
Prime factors of 34158 are 2,3,5693. Prime factorization of 34158 in exponential form is:
34158 = 21×31×56931
Prime Factorization of 34165
5 | 34165 |
6833 | 6833 |
1 |
Prime factors of 34165 are 5,6833. Prime factorization of 34165 in exponential form is:
34165 = 51×68331
∴ So by taking common prime factors GCF of 34158 and 34165 is 1
Factors of 34158
List of positive integer factors of 34158 that divides 34158 without a remainder.
1,2,3,6,5693,11386,17079,34158
Factors of 34165
List of positive integer factors of 34165 that divides 34165 without a remainder.
1,5,6833,34165
Greatest Common Factor
We found the factors and prime factorization of 34158 and 34165. The biggest common factor number is the GCF number.
So the greatest common factor 34158 and 34165 is 1.
Also check out the Least Common Multiple of 34158 and 34165
(i) The GCF of 34158 and 34165 is associative
GCF of 34158 and 34165 = GCF of 34165 and 34158
1. What is the GCF of 34158 and 34165?
Answer: GCF of 34158 and 34165 is 1.
2. What are the Factors of 34158?
Answer: Factors of 34158 are 1, 2, 3, 6, 5693, 11386, 17079, 34158. There are 8 integers that are factors of 34158. The greatest factor of 34158 is 34158.
3. What are the Factors of 34165?
Answer: Factors of 34165 are 1, 5, 6833, 34165. There are 4 integers that are factors of 34165. The greatest factor of 34165 is 34165.
4. How to Find the GCF of 34158 and 34165?
Answer:
Greatest Common Factor of 34158 and 34165 = 1
Step 1: Find the prime factorization of 34158
34158 = 2 x 3 x 5693
Step 2: Find the prime factorization of 34165
34165 = 5 x 6833
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 34158 and 34165 is 1