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 7206, 7209 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7206 and 7209 is 3.
GCF(7206,7209) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7206
2 | 7206 |
3 | 3603 |
1201 | 1201 |
1 |
Prime factors of 7206 are 2,3,1201. Prime factorization of 7206 in exponential form is:
7206 = 21×31×12011
Prime Factorization of 7209
3 | 7209 |
3 | 2403 |
3 | 801 |
3 | 267 |
89 | 89 |
1 |
Prime factors of 7209 are 3,89. Prime factorization of 7209 in exponential form is:
7209 = 34×891
∴ So by taking common prime factors GCF of 7206 and 7209 is 3
Factors of 7206
List of positive integer factors of 7206 that divides 7206 without a remainder.
1,2,3,6,1201,2402,3603,7206
Factors of 7209
List of positive integer factors of 7209 that divides 7209 without a remainder.
1,3,9,27,81,89,267,801,2403,7209
Greatest Common Factor
We found the factors and prime factorization of 7206 and 7209. The biggest common factor number is the GCF number.
So the greatest common factor 7206 and 7209 is 3.
Also check out the Least Common Multiple of 7206 and 7209
(i) The GCF of 7206 and 7209 is associative
GCF of 7206 and 7209 = GCF of 7209 and 7206
1. What is the GCF of 7206 and 7209?
Answer: GCF of 7206 and 7209 is 3.
2. What are the Factors of 7206?
Answer: Factors of 7206 are 1, 2, 3, 6, 1201, 2402, 3603, 7206. There are 8 integers that are factors of 7206. The greatest factor of 7206 is 7206.
3. What are the Factors of 7209?
Answer: Factors of 7209 are 1, 3, 9, 27, 81, 89, 267, 801, 2403, 7209. There are 10 integers that are factors of 7209. The greatest factor of 7209 is 7209.
4. How to Find the GCF of 7206 and 7209?
Answer:
Greatest Common Factor of 7206 and 7209 = 3
Step 1: Find the prime factorization of 7206
7206 = 2 x 3 x 1201
Step 2: Find the prime factorization of 7209
7209 = 3 x 3 x 3 x 3 x 89
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 7206 and 7209 is 3