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 17216, 17221 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17216 and 17221 is 1.
GCF(17216,17221) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17216
2 | 17216 |
2 | 8608 |
2 | 4304 |
2 | 2152 |
2 | 1076 |
2 | 538 |
269 | 269 |
1 |
Prime factors of 17216 are 2,269. Prime factorization of 17216 in exponential form is:
17216 = 26×2691
Prime Factorization of 17221
17 | 17221 |
1013 | 1013 |
1 |
Prime factors of 17221 are 17,1013. Prime factorization of 17221 in exponential form is:
17221 = 171×10131
∴ So by taking common prime factors GCF of 17216 and 17221 is 1
Factors of 17216
List of positive integer factors of 17216 that divides 17216 without a remainder.
1,2,4,8,16,32,64,269,538,1076,2152,4304,8608,17216
Factors of 17221
List of positive integer factors of 17221 that divides 17221 without a remainder.
1,17,1013,17221
Greatest Common Factor
We found the factors and prime factorization of 17216 and 17221. The biggest common factor number is the GCF number.
So the greatest common factor 17216 and 17221 is 1.
Also check out the Least Common Multiple of 17216 and 17221
(i) The GCF of 17216 and 17221 is associative
GCF of 17216 and 17221 = GCF of 17221 and 17216
1. What is the GCF of 17216 and 17221?
Answer: GCF of 17216 and 17221 is 1.
2. What are the Factors of 17216?
Answer: Factors of 17216 are 1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608, 17216. There are 14 integers that are factors of 17216. The greatest factor of 17216 is 17216.
3. What are the Factors of 17221?
Answer: Factors of 17221 are 1, 17, 1013, 17221. There are 4 integers that are factors of 17221. The greatest factor of 17221 is 17221.
4. How to Find the GCF of 17216 and 17221?
Answer:
Greatest Common Factor of 17216 and 17221 = 1
Step 1: Find the prime factorization of 17216
17216 = 2 x 2 x 2 x 2 x 2 x 2 x 269
Step 2: Find the prime factorization of 17221
17221 = 17 x 1013
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 17216 and 17221 is 1