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 15221, 15229 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15221 and 15229 is 1.
GCF(15221,15229) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15221
31 | 15221 |
491 | 491 |
1 |
Prime factors of 15221 are 31,491. Prime factorization of 15221 in exponential form is:
15221 = 311×4911
Prime Factorization of 15229
97 | 15229 |
157 | 157 |
1 |
Prime factors of 15229 are 97,157. Prime factorization of 15229 in exponential form is:
15229 = 971×1571
∴ So by taking common prime factors GCF of 15221 and 15229 is 1
Factors of 15221
List of positive integer factors of 15221 that divides 15221 without a remainder.
1,31,491,15221
Factors of 15229
List of positive integer factors of 15229 that divides 15229 without a remainder.
1,97,157,15229
Greatest Common Factor
We found the factors and prime factorization of 15221 and 15229. The biggest common factor number is the GCF number.
So the greatest common factor 15221 and 15229 is 1.
Also check out the Least Common Multiple of 15221 and 15229
(i) The GCF of 15221 and 15229 is associative
GCF of 15221 and 15229 = GCF of 15229 and 15221
1. What is the GCF of 15221 and 15229?
Answer: GCF of 15221 and 15229 is 1.
2. What are the Factors of 15221?
Answer: Factors of 15221 are 1, 31, 491, 15221. There are 4 integers that are factors of 15221. The greatest factor of 15221 is 15221.
3. What are the Factors of 15229?
Answer: Factors of 15229 are 1, 97, 157, 15229. There are 4 integers that are factors of 15229. The greatest factor of 15229 is 15229.
4. How to Find the GCF of 15221 and 15229?
Answer:
Greatest Common Factor of 15221 and 15229 = 1
Step 1: Find the prime factorization of 15221
15221 = 31 x 491
Step 2: Find the prime factorization of 15229
15229 = 97 x 157
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 15221 and 15229 is 1