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 3209, 3215 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3209 and 3215 is 1.
GCF(3209,3215) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3209
3209 | 3209 |
1 |
Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:
3209 = 32091
Prime Factorization of 3215
5 | 3215 |
643 | 643 |
1 |
Prime factors of 3215 are 5.Prime factorization of 3215 in exponential form is:
3215 = 51×6431
∴ So by taking common prime factors GCF of 3209 and 3215 is 1
Factors of 3209
List of positive integer factors of 3209 that divides 3209 without a remainder.
1,3209
Factors of 3215
List of positive integer factors of 3215 that divides 3215 without a remainder.
1,5,643,3215
Greatest Common Factor
We found the factors and prime factorization of 3209 and 3215. The biggest common factor number is the GCF number.
So the greatest common factor 3209 and 3215 is 1.
Also check out the Least Common Multiple of 3209 and 3215
(i) The GCF of 3209 and 3215 is associative
GCF of 3209 and 3215 = GCF of 3215 and 3209
1. What is the GCF of 3209 and 3215?
Answer: GCF of 3209 and 3215 is 1.
2. What are the Factors of 3209?
Answer: Factors of 3209 are 1, 3209. There are 2 integers that are factors of 3209. The greatest factor of 3209 is 3209.
3. What are the Factors of 3215?
Answer: Factors of 3215 are 1, 5, 643, 3215. There are 4 integers that are factors of 3215. The greatest factor of 3215 is 3215.
4. How to Find the GCF of 3209 and 3215?
Answer:
Greatest Common Factor of 3209 and 3215 = 1
Step 1: Find the prime factorization of 3209
3209 = 3209
Step 2: Find the prime factorization of 3215
3215 = 5 x 643
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 3209 and 3215 is 1