Greatest Common Factor of 16406 and 16413
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 16406, 16413 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 16406 and 16413 is 1.
GCF(16406,16413) = 1
GCF of 16406 and 16413
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
- Greatest Common Factor of 16406 and 16413 by prime factorization method
- Greatest Common Factor of 16406 and 16413 by matching factors method
GCF of 16406 and 16413 is 1
Prime Factorization of 16406
| 2 | 16406 |
| 13 | 8203 |
| 631 | 631 |
| 1 |
Prime factors of 16406 are 2,13,631. Prime factorization of 16406 in exponential form is:
16406 = 21×131×6311
Prime Factorization of 16413
| 3 | 16413 |
| 5471 | 5471 |
| 1 |
Prime factors of 16413 are 3,5471. Prime factorization of 16413 in exponential form is:
16413 = 31×54711
∴ So by taking common prime factors GCF of 16406 and 16413 is 1
Greatest Common Factor of 16406 and 16413 by matching factors method
Factors of 16406
List of positive integer factors of 16406 that divides 16406 without a remainder.
1,2,13,26,631,1262,8203,16406
Factors of 16413
List of positive integer factors of 16413 that divides 16413 without a remainder.
1,3,5471,16413
Greatest Common Factor
We found the factors and prime factorization of 16406 and 16413. The biggest common factor number is the GCF number.
So the greatest common factor 16406 and 16413 is 1.
Also check out the Least Common Multiple of 16406 and 16413
Properties of GCF 16406 and 16413
(i) The GCF of 16406 and 16413 is associative
GCF of 16406 and 16413 = GCF of 16413 and 16406
Related Greatest Common Factor of 16406
Related Greatest Common Factor of 16413
Frequently Asked Questions on GCF of 16406 and 16413
1. What is the GCF of 16406 and 16413?
Answer: GCF of 16406 and 16413 is 1.
2. What are the Factors of 16406?
Answer: Factors of 16406 are 1, 2, 13, 26, 631, 1262, 8203, 16406. There are 8 integers that are factors of 16406. The greatest factor of 16406 is 16406.
3. What are the Factors of 16413?
Answer: Factors of 16413 are 1, 3, 5471, 16413. There are 4 integers that are factors of 16413. The greatest factor of 16413 is 16413.
4. How to Find the GCF of 16406 and 16413?
Answer:
Greatest Common Factor of 16406 and 16413 = 1
Step 1: Find the prime factorization of 16406
16406 = 2 x 13 x 631
Step 2: Find the prime factorization of 16413
16413 = 3 x 5471
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 16406 and 16413 is 1