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 17206, 17210 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17206 and 17210 is 2.
GCF(17206,17210) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17206
2 | 17206 |
7 | 8603 |
1229 | 1229 |
1 |
Prime factors of 17206 are 2,7,1229. Prime factorization of 17206 in exponential form is:
17206 = 21×71×12291
Prime Factorization of 17210
2 | 17210 |
5 | 8605 |
1721 | 1721 |
1 |
Prime factors of 17210 are 2,5,1721. Prime factorization of 17210 in exponential form is:
17210 = 21×51×17211
∴ So by taking common prime factors GCF of 17206 and 17210 is 2
Factors of 17206
List of positive integer factors of 17206 that divides 17206 without a remainder.
1,2,7,14,1229,2458,8603,17206
Factors of 17210
List of positive integer factors of 17210 that divides 17210 without a remainder.
1,2,5,10,1721,3442,8605,17210
Greatest Common Factor
We found the factors and prime factorization of 17206 and 17210. The biggest common factor number is the GCF number.
So the greatest common factor 17206 and 17210 is 2.
Also check out the Least Common Multiple of 17206 and 17210
(i) The GCF of 17206 and 17210 is associative
GCF of 17206 and 17210 = GCF of 17210 and 17206
1. What is the GCF of 17206 and 17210?
Answer: GCF of 17206 and 17210 is 2.
2. What are the Factors of 17206?
Answer: Factors of 17206 are 1, 2, 7, 14, 1229, 2458, 8603, 17206. There are 8 integers that are factors of 17206. The greatest factor of 17206 is 17206.
3. What are the Factors of 17210?
Answer: Factors of 17210 are 1, 2, 5, 10, 1721, 3442, 8605, 17210. There are 8 integers that are factors of 17210. The greatest factor of 17210 is 17210.
4. How to Find the GCF of 17206 and 17210?
Answer:
Greatest Common Factor of 17206 and 17210 = 2
Step 1: Find the prime factorization of 17206
17206 = 2 x 7 x 1229
Step 2: Find the prime factorization of 17210
17210 = 2 x 5 x 1721
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 17206 and 17210 is 2