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, 17223 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17216 and 17223 is 1.
GCF(17216,17223) = 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 17223
3 | 17223 |
5741 | 5741 |
1 |
Prime factors of 17223 are 3,5741. Prime factorization of 17223 in exponential form is:
17223 = 31×57411
∴ So by taking common prime factors GCF of 17216 and 17223 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 17223
List of positive integer factors of 17223 that divides 17223 without a remainder.
1,3,5741,17223
Greatest Common Factor
We found the factors and prime factorization of 17216 and 17223. The biggest common factor number is the GCF number.
So the greatest common factor 17216 and 17223 is 1.
Also check out the Least Common Multiple of 17216 and 17223
(i) The GCF of 17216 and 17223 is associative
GCF of 17216 and 17223 = GCF of 17223 and 17216
1. What is the GCF of 17216 and 17223?
Answer: GCF of 17216 and 17223 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 17223?
Answer: Factors of 17223 are 1, 3, 5741, 17223. There are 4 integers that are factors of 17223. The greatest factor of 17223 is 17223.
4. How to Find the GCF of 17216 and 17223?
Answer:
Greatest Common Factor of 17216 and 17223 = 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 17223
17223 = 3 x 5741
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 17223 is 1