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 507, 513 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 507 and 513 is 3.
GCF(507,513) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 507
3 | 507 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 507 are 3,13. Prime factorization of 507 in exponential form is:
507 = 31×132
Prime Factorization of 513
3 | 513 |
3 | 171 |
3 | 57 |
19 | 19 |
1 |
Prime factors of 513 are 3,19. Prime factorization of 513 in exponential form is:
513 = 33×191
∴ So by taking common prime factors GCF of 507 and 513 is 3
Factors of 507
List of positive integer factors of 507 that divides 507 without a remainder.
1,3,13,39,169,507
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Greatest Common Factor
We found the factors and prime factorization of 507 and 513. The biggest common factor number is the GCF number.
So the greatest common factor 507 and 513 is 3.
Also check out the Least Common Multiple of 507 and 513
(i) The GCF of 507 and 513 is associative
GCF of 507 and 513 = GCF of 513 and 507
1. What is the GCF of 507 and 513?
Answer: GCF of 507 and 513 is 3.
2. What are the Factors of 507?
Answer: Factors of 507 are 1, 3, 13, 39, 169, 507. There are 6 integers that are factors of 507. The greatest factor of 507 is 507.
3. What are the Factors of 513?
Answer: Factors of 513 are 1, 3, 9, 19, 27, 57, 171, 513. There are 8 integers that are factors of 513. The greatest factor of 513 is 513.
4. How to Find the GCF of 507 and 513?
Answer:
Greatest Common Factor of 507 and 513 = 3
Step 1: Find the prime factorization of 507
507 = 3 x 13 x 13
Step 2: Find the prime factorization of 513
513 = 3 x 3 x 3 x 19
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 507 and 513 is 3