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 5909, 5912 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5909 and 5912 is 1.
GCF(5909,5912) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 5912
2 | 5912 |
2 | 2956 |
2 | 1478 |
739 | 739 |
1 |
Prime factors of 5912 are 2,739. Prime factorization of 5912 in exponential form is:
5912 = 23×7391
∴ So by taking common prime factors GCF of 5909 and 5912 is 1
Factors of 5909
List of positive integer factors of 5909 that divides 5909 without a remainder.
1,19,311,5909
Factors of 5912
List of positive integer factors of 5912 that divides 5912 without a remainder.
1,2,4,8,739,1478,2956,5912
Greatest Common Factor
We found the factors and prime factorization of 5909 and 5912. The biggest common factor number is the GCF number.
So the greatest common factor 5909 and 5912 is 1.
Also check out the Least Common Multiple of 5909 and 5912
(i) The GCF of 5909 and 5912 is associative
GCF of 5909 and 5912 = GCF of 5912 and 5909
1. What is the GCF of 5909 and 5912?
Answer: GCF of 5909 and 5912 is 1.
2. 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.
3. What are the Factors of 5912?
Answer: Factors of 5912 are 1, 2, 4, 8, 739, 1478, 2956, 5912. There are 8 integers that are factors of 5912. The greatest factor of 5912 is 5912.
4. How to Find the GCF of 5909 and 5912?
Answer:
Greatest Common Factor of 5909 and 5912 = 1
Step 1: Find the prime factorization of 5909
5909 = 19 x 311
Step 2: Find the prime factorization of 5912
5912 = 2 x 2 x 2 x 739
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 5909 and 5912 is 1