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 17208, 17212 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17208 and 17212 is 4.
GCF(17208,17212) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17208
2 | 17208 |
2 | 8604 |
2 | 4302 |
3 | 2151 |
3 | 717 |
239 | 239 |
1 |
Prime factors of 17208 are 2,3,239. Prime factorization of 17208 in exponential form is:
17208 = 23×32×2391
Prime Factorization of 17212
2 | 17212 |
2 | 8606 |
13 | 4303 |
331 | 331 |
1 |
Prime factors of 17212 are 2,13,331. Prime factorization of 17212 in exponential form is:
17212 = 22×131×3311
∴ So by taking common prime factors GCF of 17208 and 17212 is 4
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
Factors of 17212
List of positive integer factors of 17212 that divides 17212 without a remainder.
1,2,4,13,26,52,331,662,1324,4303,8606,17212
Greatest Common Factor
We found the factors and prime factorization of 17208 and 17212. The biggest common factor number is the GCF number.
So the greatest common factor 17208 and 17212 is 4.
Also check out the Least Common Multiple of 17208 and 17212
(i) The GCF of 17208 and 17212 is associative
GCF of 17208 and 17212 = GCF of 17212 and 17208
1. What is the GCF of 17208 and 17212?
Answer: GCF of 17208 and 17212 is 4.
2. 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.
3. What are the Factors of 17212?
Answer: Factors of 17212 are 1, 2, 4, 13, 26, 52, 331, 662, 1324, 4303, 8606, 17212. There are 12 integers that are factors of 17212. The greatest factor of 17212 is 17212.
4. How to Find the GCF of 17208 and 17212?
Answer:
Greatest Common Factor of 17208 and 17212 = 4
Step 1: Find the prime factorization of 17208
17208 = 2 x 2 x 2 x 3 x 3 x 239
Step 2: Find the prime factorization of 17212
17212 = 2 x 2 x 13 x 331
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 17208 and 17212 is 4