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 3411, 3415 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3411 and 3415 is 1.
GCF(3411,3415) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3411
3 | 3411 |
3 | 1137 |
379 | 379 |
1 |
Prime factors of 3411 are 3,379. Prime factorization of 3411 in exponential form is:
3411 = 32×3791
Prime Factorization of 3415
5 | 3415 |
683 | 683 |
1 |
Prime factors of 3415 are 5,683. Prime factorization of 3415 in exponential form is:
3415 = 51×6831
∴ So by taking common prime factors GCF of 3411 and 3415 is 1
Factors of 3411
List of positive integer factors of 3411 that divides 3411 without a remainder.
1,3,9,379,1137,3411
Factors of 3415
List of positive integer factors of 3415 that divides 3415 without a remainder.
1,5,683,3415
Greatest Common Factor
We found the factors and prime factorization of 3411 and 3415. The biggest common factor number is the GCF number.
So the greatest common factor 3411 and 3415 is 1.
Also check out the Least Common Multiple of 3411 and 3415
(i) The GCF of 3411 and 3415 is associative
GCF of 3411 and 3415 = GCF of 3415 and 3411
1. What is the GCF of 3411 and 3415?
Answer: GCF of 3411 and 3415 is 1.
2. What are the Factors of 3411?
Answer: Factors of 3411 are 1, 3, 9, 379, 1137, 3411. There are 6 integers that are factors of 3411. The greatest factor of 3411 is 3411.
3. What are the Factors of 3415?
Answer: Factors of 3415 are 1, 5, 683, 3415. There are 4 integers that are factors of 3415. The greatest factor of 3415 is 3415.
4. How to Find the GCF of 3411 and 3415?
Answer:
Greatest Common Factor of 3411 and 3415 = 1
Step 1: Find the prime factorization of 3411
3411 = 3 x 3 x 379
Step 2: Find the prime factorization of 3415
3415 = 5 x 683
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 3411 and 3415 is 1