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 17207, 17208 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17207 and 17208 is 1.
GCF(17207,17208) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17207
17207 | 17207 |
1 |
Prime factors of 17207 are 17207. Prime factorization of 17207 in exponential form is:
17207 = 172071
Prime Factorization of 17208
2 | 17208 |
2 | 8604 |
2 | 4302 |
3 | 2151 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 17208 are 2.Prime factorization of 17208 in exponential form is:
17208 = 23×32×2391
∴ So by taking common prime factors GCF of 17207 and 17208 is 1
Factors of 17207
List of positive integer factors of 17207 that divides 17207 without a remainder.
1,17207
Factors of 17208
List of positive integer factors of 17208 that divides 17208 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,239,478,717,956,1434,1912,2151,2868,4302,5736,8604,17208
Greatest Common Factor
We found the factors and prime factorization of 17207 and 17208. The biggest common factor number is the GCF number.
So the greatest common factor 17207 and 17208 is 1.
Also check out the Least Common Multiple of 17207 and 17208
(i) The GCF of 17207 and 17208 is associative
GCF of 17207 and 17208 = GCF of 17208 and 17207
1. What is the GCF of 17207 and 17208?
Answer: GCF of 17207 and 17208 is 1.
2. What are the Factors of 17207?
Answer: Factors of 17207 are 1, 17207. There are 2 integers that are factors of 17207. The greatest factor of 17207 is 17207.
3. What are the Factors of 17208?
Answer: Factors of 17208 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 239, 478, 717, 956, 1434, 1912, 2151, 2868, 4302, 5736, 8604, 17208. There are 24 integers that are factors of 17208. The greatest factor of 17208 is 17208.
4. How to Find the GCF of 17207 and 17208?
Answer:
Greatest Common Factor of 17207 and 17208 = 1
Step 1: Find the prime factorization of 17207
17207 = 17207
Step 2: Find the prime factorization of 17208
17208 = 2 x 2 x 2 x 3 x 3 x 239
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 17207 and 17208 is 1