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 4303, 4309 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4303 and 4309 is 1.
GCF(4303,4309) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4303
13 | 4303 |
331 | 331 |
1 |
Prime factors of 4303 are 13,331. Prime factorization of 4303 in exponential form is:
4303 = 131×3311
Prime Factorization of 4309
31 | 4309 |
139 | 139 |
1 |
Prime factors of 4309 are 31,139. Prime factorization of 4309 in exponential form is:
4309 = 311×1391
∴ So by taking common prime factors GCF of 4303 and 4309 is 1
Factors of 4303
List of positive integer factors of 4303 that divides 4303 without a remainder.
1,13,331,4303
Factors of 4309
List of positive integer factors of 4309 that divides 4309 without a remainder.
1,31,139,4309
Greatest Common Factor
We found the factors and prime factorization of 4303 and 4309. The biggest common factor number is the GCF number.
So the greatest common factor 4303 and 4309 is 1.
Also check out the Least Common Multiple of 4303 and 4309
(i) The GCF of 4303 and 4309 is associative
GCF of 4303 and 4309 = GCF of 4309 and 4303
1. What is the GCF of 4303 and 4309?
Answer: GCF of 4303 and 4309 is 1.
2. What are the Factors of 4303?
Answer: Factors of 4303 are 1, 13, 331, 4303. There are 4 integers that are factors of 4303. The greatest factor of 4303 is 4303.
3. What are the Factors of 4309?
Answer: Factors of 4309 are 1, 31, 139, 4309. There are 4 integers that are factors of 4309. The greatest factor of 4309 is 4309.
4. How to Find the GCF of 4303 and 4309?
Answer:
Greatest Common Factor of 4303 and 4309 = 1
Step 1: Find the prime factorization of 4303
4303 = 13 x 331
Step 2: Find the prime factorization of 4309
4309 = 31 x 139
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 4303 and 4309 is 1