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, 510 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 503 and 510 is 1.
GCF(503,510) = 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 510
2 | 510 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 510 are 2.Prime factorization of 510 in exponential form is:
510 = 21×31×51×171
∴ So by taking common prime factors GCF of 503 and 510 is 1
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors and prime factorization of 503 and 510. The biggest common factor number is the GCF number.
So the greatest common factor 503 and 510 is 1.
Also check out the Least Common Multiple of 503 and 510
(i) The GCF of 503 and 510 is associative
GCF of 503 and 510 = GCF of 510 and 503
1. What is the GCF of 503 and 510?
Answer: GCF of 503 and 510 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 510?
Answer: Factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510. There are 16 integers that are factors of 510. The greatest factor of 510 is 510.
4. How to Find the GCF of 503 and 510?
Answer:
Greatest Common Factor of 503 and 510 = 1
Step 1: Find the prime factorization of 503
503 = 503
Step 2: Find the prime factorization of 510
510 = 2 x 3 x 5 x 17
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 510 is 1