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 34234, 34237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 34234 and 34237 is 1.
GCF(34234,34237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 34234
2 | 34234 |
17117 | 17117 |
1 |
Prime factors of 34234 are 2,17117. Prime factorization of 34234 in exponential form is:
34234 = 21×171171
Prime Factorization of 34237
7 | 34237 |
67 | 4891 |
73 | 73 |
1 |
Prime factors of 34237 are 7,67,73. Prime factorization of 34237 in exponential form is:
34237 = 71×671×731
∴ So by taking common prime factors GCF of 34234 and 34237 is 1
Factors of 34234
List of positive integer factors of 34234 that divides 34234 without a remainder.
1,2,17117,34234
Factors of 34237
List of positive integer factors of 34237 that divides 34237 without a remainder.
1,7,67,73,469,511,4891,34237
Greatest Common Factor
We found the factors and prime factorization of 34234 and 34237. The biggest common factor number is the GCF number.
So the greatest common factor 34234 and 34237 is 1.
Also check out the Least Common Multiple of 34234 and 34237
(i) The GCF of 34234 and 34237 is associative
GCF of 34234 and 34237 = GCF of 34237 and 34234
1. What is the GCF of 34234 and 34237?
Answer: GCF of 34234 and 34237 is 1.
2. What are the Factors of 34234?
Answer: Factors of 34234 are 1, 2, 17117, 34234. There are 4 integers that are factors of 34234. The greatest factor of 34234 is 34234.
3. What are the Factors of 34237?
Answer: Factors of 34237 are 1, 7, 67, 73, 469, 511, 4891, 34237. There are 8 integers that are factors of 34237. The greatest factor of 34237 is 34237.
4. How to Find the GCF of 34234 and 34237?
Answer:
Greatest Common Factor of 34234 and 34237 = 1
Step 1: Find the prime factorization of 34234
34234 = 2 x 17117
Step 2: Find the prime factorization of 34237
34237 = 7 x 67 x 73
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 34234 and 34237 is 1