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 17235, 17237 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17235 and 17237 is 1.
GCF(17235,17237) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17235
3 | 17235 |
3 | 5745 |
5 | 1915 |
383 | 383 |
1 |
Prime factors of 17235 are 3,5,383. Prime factorization of 17235 in exponential form is:
17235 = 32×51×3831
Prime Factorization of 17237
11 | 17237 |
1567 | 1567 |
1 |
Prime factors of 17237 are 11,1567. Prime factorization of 17237 in exponential form is:
17237 = 111×15671
∴ So by taking common prime factors GCF of 17235 and 17237 is 1
Factors of 17235
List of positive integer factors of 17235 that divides 17235 without a remainder.
1,3,5,9,15,45,383,1149,1915,3447,5745,17235
Factors of 17237
List of positive integer factors of 17237 that divides 17237 without a remainder.
1,11,1567,17237
Greatest Common Factor
We found the factors and prime factorization of 17235 and 17237. The biggest common factor number is the GCF number.
So the greatest common factor 17235 and 17237 is 1.
Also check out the Least Common Multiple of 17235 and 17237
(i) The GCF of 17235 and 17237 is associative
GCF of 17235 and 17237 = GCF of 17237 and 17235
1. What is the GCF of 17235 and 17237?
Answer: GCF of 17235 and 17237 is 1.
2. What are the Factors of 17235?
Answer: Factors of 17235 are 1, 3, 5, 9, 15, 45, 383, 1149, 1915, 3447, 5745, 17235. There are 12 integers that are factors of 17235. The greatest factor of 17235 is 17235.
3. What are the Factors of 17237?
Answer: Factors of 17237 are 1, 11, 1567, 17237. There are 4 integers that are factors of 17237. The greatest factor of 17237 is 17237.
4. How to Find the GCF of 17235 and 17237?
Answer:
Greatest Common Factor of 17235 and 17237 = 1
Step 1: Find the prime factorization of 17235
17235 = 3 x 3 x 5 x 383
Step 2: Find the prime factorization of 17237
17237 = 11 x 1567
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 17235 and 17237 is 1