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 17221, 17224 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17221 and 17224 is 1.
GCF(17221,17224) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 17224
2 | 17224 |
2 | 8612 |
2 | 4306 |
2153 | 2153 |
1 |
Prime factors of 17224 are 2,2153. Prime factorization of 17224 in exponential form is:
17224 = 23×21531
∴ So by taking common prime factors GCF of 17221 and 17224 is 1
Factors of 17221
List of positive integer factors of 17221 that divides 17221 without a remainder.
1,17,1013,17221
Factors of 17224
List of positive integer factors of 17224 that divides 17224 without a remainder.
1,2,4,8,2153,4306,8612,17224
Greatest Common Factor
We found the factors and prime factorization of 17221 and 17224. The biggest common factor number is the GCF number.
So the greatest common factor 17221 and 17224 is 1.
Also check out the Least Common Multiple of 17221 and 17224
(i) The GCF of 17221 and 17224 is associative
GCF of 17221 and 17224 = GCF of 17224 and 17221
1. What is the GCF of 17221 and 17224?
Answer: GCF of 17221 and 17224 is 1.
2. 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.
3. What are the Factors of 17224?
Answer: Factors of 17224 are 1, 2, 4, 8, 2153, 4306, 8612, 17224. There are 8 integers that are factors of 17224. The greatest factor of 17224 is 17224.
4. How to Find the GCF of 17221 and 17224?
Answer:
Greatest Common Factor of 17221 and 17224 = 1
Step 1: Find the prime factorization of 17221
17221 = 17 x 1013
Step 2: Find the prime factorization of 17224
17224 = 2 x 2 x 2 x 2153
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 17221 and 17224 is 1