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 17225, 17230 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 17225 and 17230 is 5.
GCF(17225,17230) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 17225
5 | 17225 |
5 | 3445 |
13 | 689 |
53 | 53 |
1 |
Prime factors of 17225 are 5,13,53. Prime factorization of 17225 in exponential form is:
17225 = 52×131×531
Prime Factorization of 17230
2 | 17230 |
5 | 8615 |
1723 | 1723 |
1 |
Prime factors of 17230 are 2,5,1723. Prime factorization of 17230 in exponential form is:
17230 = 21×51×17231
∴ So by taking common prime factors GCF of 17225 and 17230 is 5
Factors of 17225
List of positive integer factors of 17225 that divides 17225 without a remainder.
1,5,13,25,53,65,265,325,689,1325,3445,17225
Factors of 17230
List of positive integer factors of 17230 that divides 17230 without a remainder.
1,2,5,10,1723,3446,8615,17230
Greatest Common Factor
We found the factors and prime factorization of 17225 and 17230. The biggest common factor number is the GCF number.
So the greatest common factor 17225 and 17230 is 5.
Also check out the Least Common Multiple of 17225 and 17230
(i) The GCF of 17225 and 17230 is associative
GCF of 17225 and 17230 = GCF of 17230 and 17225
1. What is the GCF of 17225 and 17230?
Answer: GCF of 17225 and 17230 is 5.
2. What are the Factors of 17225?
Answer: Factors of 17225 are 1, 5, 13, 25, 53, 65, 265, 325, 689, 1325, 3445, 17225. There are 12 integers that are factors of 17225. The greatest factor of 17225 is 17225.
3. What are the Factors of 17230?
Answer: Factors of 17230 are 1, 2, 5, 10, 1723, 3446, 8615, 17230. There are 8 integers that are factors of 17230. The greatest factor of 17230 is 17230.
4. How to Find the GCF of 17225 and 17230?
Answer:
Greatest Common Factor of 17225 and 17230 = 5
Step 1: Find the prime factorization of 17225
17225 = 5 x 5 x 13 x 53
Step 2: Find the prime factorization of 17230
17230 = 2 x 5 x 1723
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 17225 and 17230 is 5