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 17214, 17218 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17214 and 17218 is 2.
GCF(17214,17218) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17214
2 | 17214 |
3 | 8607 |
19 | 2869 |
151 | 151 |
1 |
Prime factors of 17214 are 2,3,19,151. Prime factorization of 17214 in exponential form is:
17214 = 21×31×191×1511
Prime Factorization of 17218
2 | 17218 |
8609 | 8609 |
1 |
Prime factors of 17218 are 2,8609. Prime factorization of 17218 in exponential form is:
17218 = 21×86091
∴ So by taking common prime factors GCF of 17214 and 17218 is 2
Factors of 17214
List of positive integer factors of 17214 that divides 17214 without a remainder.
1,2,3,6,19,38,57,114,151,302,453,906,2869,5738,8607,17214
Factors of 17218
List of positive integer factors of 17218 that divides 17218 without a remainder.
1,2,8609,17218
Greatest Common Factor
We found the factors and prime factorization of 17214 and 17218. The biggest common factor number is the GCF number.
So the greatest common factor 17214 and 17218 is 2.
Also check out the Least Common Multiple of 17214 and 17218
(i) The GCF of 17214 and 17218 is associative
GCF of 17214 and 17218 = GCF of 17218 and 17214
1. What is the GCF of 17214 and 17218?
Answer: GCF of 17214 and 17218 is 2.
2. What are the Factors of 17214?
Answer: Factors of 17214 are 1, 2, 3, 6, 19, 38, 57, 114, 151, 302, 453, 906, 2869, 5738, 8607, 17214. There are 16 integers that are factors of 17214. The greatest factor of 17214 is 17214.
3. What are the Factors of 17218?
Answer: Factors of 17218 are 1, 2, 8609, 17218. There are 4 integers that are factors of 17218. The greatest factor of 17218 is 17218.
4. How to Find the GCF of 17214 and 17218?
Answer:
Greatest Common Factor of 17214 and 17218 = 2
Step 1: Find the prime factorization of 17214
17214 = 2 x 3 x 19 x 151
Step 2: Find the prime factorization of 17218
17218 = 2 x 8609
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 17214 and 17218 is 2