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 1405, 1413 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1405 and 1413 is 1.
GCF(1405,1413) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1405
5 | 1405 |
281 | 281 |
1 |
Prime factors of 1405 are 5,281. Prime factorization of 1405 in exponential form is:
1405 = 51×2811
Prime Factorization of 1413
3 | 1413 |
3 | 471 |
157 | 157 |
1 |
Prime factors of 1413 are 3,157. Prime factorization of 1413 in exponential form is:
1413 = 32×1571
∴ So by taking common prime factors GCF of 1405 and 1413 is 1
Factors of 1405
List of positive integer factors of 1405 that divides 1405 without a remainder.
1,5,281,1405
Factors of 1413
List of positive integer factors of 1413 that divides 1413 without a remainder.
1,3,9,157,471,1413
Greatest Common Factor
We found the factors and prime factorization of 1405 and 1413. The biggest common factor number is the GCF number.
So the greatest common factor 1405 and 1413 is 1.
Also check out the Least Common Multiple of 1405 and 1413
(i) The GCF of 1405 and 1413 is associative
GCF of 1405 and 1413 = GCF of 1413 and 1405
1. What is the GCF of 1405 and 1413?
Answer: GCF of 1405 and 1413 is 1.
2. What are the Factors of 1405?
Answer: Factors of 1405 are 1, 5, 281, 1405. There are 4 integers that are factors of 1405. The greatest factor of 1405 is 1405.
3. What are the Factors of 1413?
Answer: Factors of 1413 are 1, 3, 9, 157, 471, 1413. There are 6 integers that are factors of 1413. The greatest factor of 1413 is 1413.
4. How to Find the GCF of 1405 and 1413?
Answer:
Greatest Common Factor of 1405 and 1413 = 1
Step 1: Find the prime factorization of 1405
1405 = 5 x 281
Step 2: Find the prime factorization of 1413
1413 = 3 x 3 x 157
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 1405 and 1413 is 1