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 5905, 5909 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5905 and 5909 is 1.
GCF(5905,5909) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5905
5 | 5905 |
1181 | 1181 |
1 |
Prime factors of 5905 are 5,1181. Prime factorization of 5905 in exponential form is:
5905 = 51×11811
Prime Factorization of 5909
19 | 5909 |
311 | 311 |
1 |
Prime factors of 5909 are 19,311. Prime factorization of 5909 in exponential form is:
5909 = 191×3111
∴ So by taking common prime factors GCF of 5905 and 5909 is 1
Factors of 5905
List of positive integer factors of 5905 that divides 5905 without a remainder.
1,5,1181,5905
Factors of 5909
List of positive integer factors of 5909 that divides 5909 without a remainder.
1,19,311,5909
Greatest Common Factor
We found the factors and prime factorization of 5905 and 5909. The biggest common factor number is the GCF number.
So the greatest common factor 5905 and 5909 is 1.
Also check out the Least Common Multiple of 5905 and 5909
(i) The GCF of 5905 and 5909 is associative
GCF of 5905 and 5909 = GCF of 5909 and 5905
1. What is the GCF of 5905 and 5909?
Answer: GCF of 5905 and 5909 is 1.
2. What are the Factors of 5905?
Answer: Factors of 5905 are 1, 5, 1181, 5905. There are 4 integers that are factors of 5905. The greatest factor of 5905 is 5905.
3. What are the Factors of 5909?
Answer: Factors of 5909 are 1, 19, 311, 5909. There are 4 integers that are factors of 5909. The greatest factor of 5909 is 5909.
4. How to Find the GCF of 5905 and 5909?
Answer:
Greatest Common Factor of 5905 and 5909 = 1
Step 1: Find the prime factorization of 5905
5905 = 5 x 1181
Step 2: Find the prime factorization of 5909
5909 = 19 x 311
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 5905 and 5909 is 1