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 2503, 2509 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2503 and 2509 is 1.
GCF(2503,2509) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2503
2503 | 2503 |
1 |
Prime factors of 2503 are 2503. Prime factorization of 2503 in exponential form is:
2503 = 25031
Prime Factorization of 2509
13 | 2509 |
193 | 193 |
1 |
Prime factors of 2509 are 13.Prime factorization of 2509 in exponential form is:
2509 = 131×1931
∴ So by taking common prime factors GCF of 2503 and 2509 is 1
Factors of 2503
List of positive integer factors of 2503 that divides 2503 without a remainder.
1,2503
Factors of 2509
List of positive integer factors of 2509 that divides 2509 without a remainder.
1,13,193,2509
Greatest Common Factor
We found the factors and prime factorization of 2503 and 2509. The biggest common factor number is the GCF number.
So the greatest common factor 2503 and 2509 is 1.
Also check out the Least Common Multiple of 2503 and 2509
(i) The GCF of 2503 and 2509 is associative
GCF of 2503 and 2509 = GCF of 2509 and 2503
1. What is the GCF of 2503 and 2509?
Answer: GCF of 2503 and 2509 is 1.
2. What are the Factors of 2503?
Answer: Factors of 2503 are 1, 2503. There are 2 integers that are factors of 2503. The greatest factor of 2503 is 2503.
3. What are the Factors of 2509?
Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.
4. How to Find the GCF of 2503 and 2509?
Answer:
Greatest Common Factor of 2503 and 2509 = 1
Step 1: Find the prime factorization of 2503
2503 = 2503
Step 2: Find the prime factorization of 2509
2509 = 13 x 193
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 2503 and 2509 is 1