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, 3419 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3414 and 3419 is 1.
GCF(3414,3419) = 1
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 3419
13 | 3419 |
263 | 263 |
1 |
Prime factors of 3419 are 13,263. Prime factorization of 3419 in exponential form is:
3419 = 131×2631
∴ So by taking common prime factors GCF of 3414 and 3419 is 1
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 3419
List of positive integer factors of 3419 that divides 3419 without a remainder.
1,13,263,3419
Greatest Common Factor
We found the factors and prime factorization of 3414 and 3419. The biggest common factor number is the GCF number.
So the greatest common factor 3414 and 3419 is 1.
Also check out the Least Common Multiple of 3414 and 3419
(i) The GCF of 3414 and 3419 is associative
GCF of 3414 and 3419 = GCF of 3419 and 3414
1. What is the GCF of 3414 and 3419?
Answer: GCF of 3414 and 3419 is 1.
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 3419?
Answer: Factors of 3419 are 1, 13, 263, 3419. There are 4 integers that are factors of 3419. The greatest factor of 3419 is 3419.
4. How to Find the GCF of 3414 and 3419?
Answer:
Greatest Common Factor of 3414 and 3419 = 1
Step 1: Find the prime factorization of 3414
3414 = 2 x 3 x 569
Step 2: Find the prime factorization of 3419
3419 = 13 x 263
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 3414 and 3419 is 1