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 6209, 6215 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6209 and 6215 is 1.
GCF(6209,6215) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6209
7 | 6209 |
887 | 887 |
1 |
Prime factors of 6209 are 7,887. Prime factorization of 6209 in exponential form is:
6209 = 71×8871
Prime Factorization of 6215
5 | 6215 |
11 | 1243 |
113 | 113 |
1 |
Prime factors of 6215 are 5,11,113. Prime factorization of 6215 in exponential form is:
6215 = 51×111×1131
∴ So by taking common prime factors GCF of 6209 and 6215 is 1
Factors of 6209
List of positive integer factors of 6209 that divides 6209 without a remainder.
1,7,887,6209
Factors of 6215
List of positive integer factors of 6215 that divides 6215 without a remainder.
1,5,11,55,113,565,1243,6215
Greatest Common Factor
We found the factors and prime factorization of 6209 and 6215. The biggest common factor number is the GCF number.
So the greatest common factor 6209 and 6215 is 1.
Also check out the Least Common Multiple of 6209 and 6215
(i) The GCF of 6209 and 6215 is associative
GCF of 6209 and 6215 = GCF of 6215 and 6209
1. What is the GCF of 6209 and 6215?
Answer: GCF of 6209 and 6215 is 1.
2. What are the Factors of 6209?
Answer: Factors of 6209 are 1, 7, 887, 6209. There are 4 integers that are factors of 6209. The greatest factor of 6209 is 6209.
3. What are the Factors of 6215?
Answer: Factors of 6215 are 1, 5, 11, 55, 113, 565, 1243, 6215. There are 8 integers that are factors of 6215. The greatest factor of 6215 is 6215.
4. How to Find the GCF of 6209 and 6215?
Answer:
Greatest Common Factor of 6209 and 6215 = 1
Step 1: Find the prime factorization of 6209
6209 = 7 x 887
Step 2: Find the prime factorization of 6215
6215 = 5 x 11 x 113
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 6209 and 6215 is 1