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 503, 509 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 503 and 509 is 1.
GCF(503,509) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 503
503 | 503 |
1 |
Prime factors of 503 are 503. Prime factorization of 503 in exponential form is:
503 = 5031
Prime Factorization of 509
509 | 509 |
1 |
Prime factors of 509 are 509.Prime factorization of 509 in exponential form is:
509 = 5091
∴ So by taking common prime factors GCF of 503 and 509 is 1
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Greatest Common Factor
We found the factors and prime factorization of 503 and 509. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 509 is 1.
Also check out the Least Common Multiple of 503 and 509
(i) The GCF of 503 and 509 is associative
GCF of 503 and 509 = GCF of 509 and 503
1. What is the GCF of 503 and 509?
Answer: GCF of 503 and 509 is 1.
2. What are the Factors of 503?
Answer: Factors of 503 are 1, 503. There are 2 integers that are factors of 503. The greatest factor of 503 is 503.
3. What are the Factors of 509?
Answer: Factors of 509 are 1, 509. There are 2 integers that are factors of 509. The greatest factor of 509 is 509.
4. How to Find the GCF of 503 and 509?
Answer:
Greatest Common Factor of 503 and 509 = 1
Step 1: Find the prime factorization of 503
503 = 503
Step 2: Find the prime factorization of 509
509 = 509
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 503 and 509 is 1