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 34182, 34187 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 34182 and 34187 is 1.
GCF(34182,34187) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 34182
2 | 34182 |
3 | 17091 |
3 | 5697 |
3 | 1899 |
3 | 633 |
211 | 211 |
1 |
Prime factors of 34182 are 2,3,211. Prime factorization of 34182 in exponential form is:
34182 = 21×34×2111
Prime Factorization of 34187
17 | 34187 |
2011 | 2011 |
1 |
Prime factors of 34187 are 17,2011. Prime factorization of 34187 in exponential form is:
34187 = 171×20111
∴ So by taking common prime factors GCF of 34182 and 34187 is 1
Factors of 34182
List of positive integer factors of 34182 that divides 34182 without a remainder.
1,2,3,6,9,18,27,54,81,162,211,422,633,1266,1899,3798,5697,11394,17091,34182
Factors of 34187
List of positive integer factors of 34187 that divides 34187 without a remainder.
1,17,2011,34187
Greatest Common Factor
We found the factors and prime factorization of 34182 and 34187. The biggest common factor number is the GCF number.
So the greatest common factor 34182 and 34187 is 1.
Also check out the Least Common Multiple of 34182 and 34187
(i) The GCF of 34182 and 34187 is associative
GCF of 34182 and 34187 = GCF of 34187 and 34182
1. What is the GCF of 34182 and 34187?
Answer: GCF of 34182 and 34187 is 1.
2. What are the Factors of 34182?
Answer: Factors of 34182 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 211, 422, 633, 1266, 1899, 3798, 5697, 11394, 17091, 34182. There are 20 integers that are factors of 34182. The greatest factor of 34182 is 34182.
3. What are the Factors of 34187?
Answer: Factors of 34187 are 1, 17, 2011, 34187. There are 4 integers that are factors of 34187. The greatest factor of 34187 is 34187.
4. How to Find the GCF of 34182 and 34187?
Answer:
Greatest Common Factor of 34182 and 34187 = 1
Step 1: Find the prime factorization of 34182
34182 = 2 x 3 x 3 x 3 x 3 x 211
Step 2: Find the prime factorization of 34187
34187 = 17 x 2011
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 34182 and 34187 is 1