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 15225, 15230 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15225 and 15230 is 5.
GCF(15225,15230) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15225
3 | 15225 |
5 | 5075 |
5 | 1015 |
7 | 203 |
29 | 29 |
1 |
Prime factors of 15225 are 3,5,7,29. Prime factorization of 15225 in exponential form is:
15225 = 31×52×71×291
Prime Factorization of 15230
2 | 15230 |
5 | 7615 |
1523 | 1523 |
1 |
Prime factors of 15230 are 2,5,1523. Prime factorization of 15230 in exponential form is:
15230 = 21×51×15231
∴ So by taking common prime factors GCF of 15225 and 15230 is 5
Factors of 15225
List of positive integer factors of 15225 that divides 15225 without a remainder.
1,3,5,7,15,21,25,29,35,75,87,105,145,175,203,435,525,609,725,1015,2175,3045,5075,15225
Factors of 15230
List of positive integer factors of 15230 that divides 15230 without a remainder.
1,2,5,10,1523,3046,7615,15230
Greatest Common Factor
We found the factors and prime factorization of 15225 and 15230. The biggest common factor number is the GCF number.
So the greatest common factor 15225 and 15230 is 5.
Also check out the Least Common Multiple of 15225 and 15230
(i) The GCF of 15225 and 15230 is associative
GCF of 15225 and 15230 = GCF of 15230 and 15225
1. What is the GCF of 15225 and 15230?
Answer: GCF of 15225 and 15230 is 5.
2. What are the Factors of 15225?
Answer: Factors of 15225 are 1, 3, 5, 7, 15, 21, 25, 29, 35, 75, 87, 105, 145, 175, 203, 435, 525, 609, 725, 1015, 2175, 3045, 5075, 15225. There are 24 integers that are factors of 15225. The greatest factor of 15225 is 15225.
3. What are the Factors of 15230?
Answer: Factors of 15230 are 1, 2, 5, 10, 1523, 3046, 7615, 15230. There are 8 integers that are factors of 15230. The greatest factor of 15230 is 15230.
4. How to Find the GCF of 15225 and 15230?
Answer:
Greatest Common Factor of 15225 and 15230 = 5
Step 1: Find the prime factorization of 15225
15225 = 3 x 5 x 5 x 7 x 29
Step 2: Find the prime factorization of 15230
15230 = 2 x 5 x 1523
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 15225 and 15230 is 5