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 13215, 13219 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 13215 and 13219 is 1.
GCF(13215,13219) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 13215
3 | 13215 |
5 | 4405 |
881 | 881 |
1 |
Prime factors of 13215 are 3,5,881. Prime factorization of 13215 in exponential form is:
13215 = 31×51×8811
Prime Factorization of 13219
13219 | 13219 |
1 |
Prime factors of 13219 are 13219. Prime factorization of 13219 in exponential form is:
13219 = 132191
∴ So by taking common prime factors GCF of 13215 and 13219 is 1
Factors of 13215
List of positive integer factors of 13215 that divides 13215 without a remainder.
1,3,5,15,881,2643,4405,13215
Factors of 13219
List of positive integer factors of 13219 that divides 13219 without a remainder.
1,13219
Greatest Common Factor
We found the factors and prime factorization of 13215 and 13219. The biggest common factor number is the GCF number.
So the greatest common factor 13215 and 13219 is 1.
Also check out the Least Common Multiple of 13215 and 13219
(i) The GCF of 13215 and 13219 is associative
GCF of 13215 and 13219 = GCF of 13219 and 13215
1. What is the GCF of 13215 and 13219?
Answer: GCF of 13215 and 13219 is 1.
2. What are the Factors of 13215?
Answer: Factors of 13215 are 1, 3, 5, 15, 881, 2643, 4405, 13215. There are 8 integers that are factors of 13215. The greatest factor of 13215 is 13215.
3. What are the Factors of 13219?
Answer: Factors of 13219 are 1, 13219. There are 2 integers that are factors of 13219. The greatest factor of 13219 is 13219.
4. How to Find the GCF of 13215 and 13219?
Answer:
Greatest Common Factor of 13215 and 13219 = 1
Step 1: Find the prime factorization of 13215
13215 = 3 x 5 x 881
Step 2: Find the prime factorization of 13219
13219 = 13219
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 13215 and 13219 is 1