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 502, 510 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 502 and 510 is 2.
GCF(502,510) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 502
2 | 502 |
251 | 251 |
1 |
Prime factors of 502 are 2,251. Prime factorization of 502 in exponential form is:
502 = 21×2511
Prime Factorization of 510
2 | 510 |
3 | 255 |
5 | 85 |
17 | 17 |
1 |
Prime factors of 510 are 2,3,5,17. Prime factorization of 510 in exponential form is:
510 = 21×31×51×171
∴ So by taking common prime factors GCF of 502 and 510 is 2
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
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 502 and 510. The biggest common factor number is the GCF number.
So the greatest common factor 502 and 510 is 2.
Also check out the Least Common Multiple of 502 and 510
(i) The GCF of 502 and 510 is associative
GCF of 502 and 510 = GCF of 510 and 502
1. What is the GCF of 502 and 510?
Answer: GCF of 502 and 510 is 2.
2. What are the Factors of 502?
Answer: Factors of 502 are 1, 2, 251, 502. There are 4 integers that are factors of 502. The greatest factor of 502 is 502.
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 502 and 510?
Answer:
Greatest Common Factor of 502 and 510 = 2
Step 1: Find the prime factorization of 502
502 = 2 x 251
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 = 2
Step 4: Therefore, the greatest common factor of 502 and 510 is 2