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 34227, 34235 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 34227 and 34235 is 1.
GCF(34227,34235) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 34227
3 | 34227 |
3 | 11409 |
3803 | 3803 |
1 |
Prime factors of 34227 are 3,3803. Prime factorization of 34227 in exponential form is:
34227 = 32×38031
Prime Factorization of 34235
5 | 34235 |
41 | 6847 |
167 | 167 |
1 |
Prime factors of 34235 are 5,41,167. Prime factorization of 34235 in exponential form is:
34235 = 51×411×1671
∴ So by taking common prime factors GCF of 34227 and 34235 is 1
Factors of 34227
List of positive integer factors of 34227 that divides 34227 without a remainder.
1,3,9,3803,11409,34227
Factors of 34235
List of positive integer factors of 34235 that divides 34235 without a remainder.
1,5,41,167,205,835,6847,34235
Greatest Common Factor
We found the factors and prime factorization of 34227 and 34235. The biggest common factor number is the GCF number.
So the greatest common factor 34227 and 34235 is 1.
Also check out the Least Common Multiple of 34227 and 34235
(i) The GCF of 34227 and 34235 is associative
GCF of 34227 and 34235 = GCF of 34235 and 34227
1. What is the GCF of 34227 and 34235?
Answer: GCF of 34227 and 34235 is 1.
2. What are the Factors of 34227?
Answer: Factors of 34227 are 1, 3, 9, 3803, 11409, 34227. There are 6 integers that are factors of 34227. The greatest factor of 34227 is 34227.
3. What are the Factors of 34235?
Answer: Factors of 34235 are 1, 5, 41, 167, 205, 835, 6847, 34235. There are 8 integers that are factors of 34235. The greatest factor of 34235 is 34235.
4. How to Find the GCF of 34227 and 34235?
Answer:
Greatest Common Factor of 34227 and 34235 = 1
Step 1: Find the prime factorization of 34227
34227 = 3 x 3 x 3803
Step 2: Find the prime factorization of 34235
34235 = 5 x 41 x 167
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 34227 and 34235 is 1