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 5303, 5309 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5303 and 5309 is 1.
GCF(5303,5309) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5303
5303 | 5303 |
1 |
Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:
5303 = 53031
Prime Factorization of 5309
5309 | 5309 |
1 |
Prime factors of 5309 are 5309.Prime factorization of 5309 in exponential form is:
5309 = 53091
∴ So by taking common prime factors GCF of 5303 and 5309 is 1
Factors of 5303
List of positive integer factors of 5303 that divides 5303 without a remainder.
1,5303
Factors of 5309
List of positive integer factors of 5309 that divides 5309 without a remainder.
1,5309
Greatest Common Factor
We found the factors and prime factorization of 5303 and 5309. The biggest common factor number is the GCF number.
So the greatest common factor 5303 and 5309 is 1.
Also check out the Least Common Multiple of 5303 and 5309
(i) The GCF of 5303 and 5309 is associative
GCF of 5303 and 5309 = GCF of 5309 and 5303
1. What is the GCF of 5303 and 5309?
Answer: GCF of 5303 and 5309 is 1.
2. What are the Factors of 5303?
Answer: Factors of 5303 are 1, 5303. There are 2 integers that are factors of 5303. The greatest factor of 5303 is 5303.
3. What are the Factors of 5309?
Answer: Factors of 5309 are 1, 5309. There are 2 integers that are factors of 5309. The greatest factor of 5309 is 5309.
4. How to Find the GCF of 5303 and 5309?
Answer:
Greatest Common Factor of 5303 and 5309 = 1
Step 1: Find the prime factorization of 5303
5303 = 5303
Step 2: Find the prime factorization of 5309
5309 = 5309
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 5303 and 5309 is 1