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 15215, 15223 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15215 and 15223 is 1.
GCF(15215,15223) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15215
5 | 15215 |
17 | 3043 |
179 | 179 |
1 |
Prime factors of 15215 are 5,17,179. Prime factorization of 15215 in exponential form is:
15215 = 51×171×1791
Prime Factorization of 15223
13 | 15223 |
1171 | 1171 |
1 |
Prime factors of 15223 are 13,1171. Prime factorization of 15223 in exponential form is:
15223 = 131×11711
∴ So by taking common prime factors GCF of 15215 and 15223 is 1
Factors of 15215
List of positive integer factors of 15215 that divides 15215 without a remainder.
1,5,17,85,179,895,3043,15215
Factors of 15223
List of positive integer factors of 15223 that divides 15223 without a remainder.
1,13,1171,15223
Greatest Common Factor
We found the factors and prime factorization of 15215 and 15223. The biggest common factor number is the GCF number.
So the greatest common factor 15215 and 15223 is 1.
Also check out the Least Common Multiple of 15215 and 15223
(i) The GCF of 15215 and 15223 is associative
GCF of 15215 and 15223 = GCF of 15223 and 15215
1. What is the GCF of 15215 and 15223?
Answer: GCF of 15215 and 15223 is 1.
2. What are the Factors of 15215?
Answer: Factors of 15215 are 1, 5, 17, 85, 179, 895, 3043, 15215. There are 8 integers that are factors of 15215. The greatest factor of 15215 is 15215.
3. What are the Factors of 15223?
Answer: Factors of 15223 are 1, 13, 1171, 15223. There are 4 integers that are factors of 15223. The greatest factor of 15223 is 15223.
4. How to Find the GCF of 15215 and 15223?
Answer:
Greatest Common Factor of 15215 and 15223 = 1
Step 1: Find the prime factorization of 15215
15215 = 5 x 17 x 179
Step 2: Find the prime factorization of 15223
15223 = 13 x 1171
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 15215 and 15223 is 1