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 3399, 3406 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3399 and 3406 is 1.
GCF(3399,3406) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3399
3 | 3399 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 3399 are 3,11,103. Prime factorization of 3399 in exponential form is:
3399 = 31×111×1031
Prime Factorization of 3406
2 | 3406 |
13 | 1703 |
131 | 131 |
1 |
Prime factors of 3406 are 2,13,131. Prime factorization of 3406 in exponential form is:
3406 = 21×131×1311
∴ So by taking common prime factors GCF of 3399 and 3406 is 1
Factors of 3399
List of positive integer factors of 3399 that divides 3399 without a remainder.
1,3,11,33,103,309,1133,3399
Factors of 3406
List of positive integer factors of 3406 that divides 3406 without a remainder.
1,2,13,26,131,262,1703,3406
Greatest Common Factor
We found the factors and prime factorization of 3399 and 3406. The biggest common factor number is the GCF number.
So the greatest common factor 3399 and 3406 is 1.
Also check out the Least Common Multiple of 3399 and 3406
(i) The GCF of 3399 and 3406 is associative
GCF of 3399 and 3406 = GCF of 3406 and 3399
1. What is the GCF of 3399 and 3406?
Answer: GCF of 3399 and 3406 is 1.
2. What are the Factors of 3399?
Answer: Factors of 3399 are 1, 3, 11, 33, 103, 309, 1133, 3399. There are 8 integers that are factors of 3399. The greatest factor of 3399 is 3399.
3. What are the Factors of 3406?
Answer: Factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406. There are 8 integers that are factors of 3406. The greatest factor of 3406 is 3406.
4. How to Find the GCF of 3399 and 3406?
Answer:
Greatest Common Factor of 3399 and 3406 = 1
Step 1: Find the prime factorization of 3399
3399 = 3 x 11 x 103
Step 2: Find the prime factorization of 3406
3406 = 2 x 13 x 131
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 3399 and 3406 is 1