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 3205, 3209 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3205 and 3209 is 1.
GCF(3205,3209) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3205
5 | 3205 |
641 | 641 |
1 |
Prime factors of 3205 are 5,641. Prime factorization of 3205 in exponential form is:
3205 = 51×6411
Prime Factorization of 3209
3209 | 3209 |
1 |
Prime factors of 3209 are 3209. Prime factorization of 3209 in exponential form is:
3209 = 32091
∴ So by taking common prime factors GCF of 3205 and 3209 is 1
Factors of 3205
List of positive integer factors of 3205 that divides 3205 without a remainder.
1,5,641,3205
Factors of 3209
List of positive integer factors of 3209 that divides 3209 without a remainder.
1,3209
Greatest Common Factor
We found the factors and prime factorization of 3205 and 3209. The biggest common factor number is the GCF number.
So the greatest common factor 3205 and 3209 is 1.
Also check out the Least Common Multiple of 3205 and 3209
(i) The GCF of 3205 and 3209 is associative
GCF of 3205 and 3209 = GCF of 3209 and 3205
1. What is the GCF of 3205 and 3209?
Answer: GCF of 3205 and 3209 is 1.
2. What are the Factors of 3205?
Answer: Factors of 3205 are 1, 5, 641, 3205. There are 4 integers that are factors of 3205. The greatest factor of 3205 is 3205.
3. 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.
4. How to Find the GCF of 3205 and 3209?
Answer:
Greatest Common Factor of 3205 and 3209 = 1
Step 1: Find the prime factorization of 3205
3205 = 5 x 641
Step 2: Find the prime factorization of 3209
3209 = 3209
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 3205 and 3209 is 1