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 3414, 3417 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3414 and 3417 is 3.
GCF(3414,3417) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3414
2 | 3414 |
3 | 1707 |
569 | 569 |
1 |
Prime factors of 3414 are 2,3,569. Prime factorization of 3414 in exponential form is:
3414 = 21×31×5691
Prime Factorization of 3417
3 | 3417 |
17 | 1139 |
67 | 67 |
1 |
Prime factors of 3417 are 3,17,67. Prime factorization of 3417 in exponential form is:
3417 = 31×171×671
∴ So by taking common prime factors GCF of 3414 and 3417 is 3
Factors of 3414
List of positive integer factors of 3414 that divides 3414 without a remainder.
1,2,3,6,569,1138,1707,3414
Factors of 3417
List of positive integer factors of 3417 that divides 3417 without a remainder.
1,3,17,51,67,201,1139,3417
Greatest Common Factor
We found the factors and prime factorization of 3414 and 3417. The biggest common factor number is the GCF number.
So the greatest common factor 3414 and 3417 is 3.
Also check out the Least Common Multiple of 3414 and 3417
(i) The GCF of 3414 and 3417 is associative
GCF of 3414 and 3417 = GCF of 3417 and 3414
1. What is the GCF of 3414 and 3417?
Answer: GCF of 3414 and 3417 is 3.
2. What are the Factors of 3414?
Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.
3. What are the Factors of 3417?
Answer: Factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417. There are 8 integers that are factors of 3417. The greatest factor of 3417 is 3417.
4. How to Find the GCF of 3414 and 3417?
Answer:
Greatest Common Factor of 3414 and 3417 = 3
Step 1: Find the prime factorization of 3414
3414 = 2 x 3 x 569
Step 2: Find the prime factorization of 3417
3417 = 3 x 17 x 67
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 3414 and 3417 is 3