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 7215, 7218 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7215 and 7218 is 3.
GCF(7215,7218) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7215
3 | 7215 |
5 | 2405 |
13 | 481 |
37 | 37 |
1 |
Prime factors of 7215 are 3,5,13,37. Prime factorization of 7215 in exponential form is:
7215 = 31×51×131×371
Prime Factorization of 7218
2 | 7218 |
3 | 3609 |
3 | 1203 |
401 | 401 |
1 |
Prime factors of 7218 are 2,3,401. Prime factorization of 7218 in exponential form is:
7218 = 21×32×4011
∴ So by taking common prime factors GCF of 7215 and 7218 is 3
Factors of 7215
List of positive integer factors of 7215 that divides 7215 without a remainder.
1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215
Factors of 7218
List of positive integer factors of 7218 that divides 7218 without a remainder.
1,2,3,6,9,18,401,802,1203,2406,3609,7218
Greatest Common Factor
We found the factors and prime factorization of 7215 and 7218. The biggest common factor number is the GCF number.
So the greatest common factor 7215 and 7218 is 3.
Also check out the Least Common Multiple of 7215 and 7218
(i) The GCF of 7215 and 7218 is associative
GCF of 7215 and 7218 = GCF of 7218 and 7215
1. What is the GCF of 7215 and 7218?
Answer: GCF of 7215 and 7218 is 3.
2. What are the Factors of 7215?
Answer: Factors of 7215 are 1, 3, 5, 13, 15, 37, 39, 65, 111, 185, 195, 481, 555, 1443, 2405, 7215. There are 16 integers that are factors of 7215. The greatest factor of 7215 is 7215.
3. What are the Factors of 7218?
Answer: Factors of 7218 are 1, 2, 3, 6, 9, 18, 401, 802, 1203, 2406, 3609, 7218. There are 12 integers that are factors of 7218. The greatest factor of 7218 is 7218.
4. How to Find the GCF of 7215 and 7218?
Answer:
Greatest Common Factor of 7215 and 7218 = 3
Step 1: Find the prime factorization of 7215
7215 = 3 x 5 x 13 x 37
Step 2: Find the prime factorization of 7218
7218 = 2 x 3 x 3 x 401
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 7215 and 7218 is 3