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 515, 518 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 515 and 518 is 1.
GCF(515,518) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 515
5 | 515 |
103 | 103 |
1 |
Prime factors of 515 are 5,103. Prime factorization of 515 in exponential form is:
515 = 51×1031
Prime Factorization of 518
2 | 518 |
7 | 259 |
37 | 37 |
1 |
Prime factors of 518 are 2,7,37. Prime factorization of 518 in exponential form is:
518 = 21×71×371
∴ So by taking common prime factors GCF of 515 and 518 is 1
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Greatest Common Factor
We found the factors and prime factorization of 515 and 518. The biggest common factor number is the GCF number.
So the greatest common factor 515 and 518 is 1.
Also check out the Least Common Multiple of 515 and 518
(i) The GCF of 515 and 518 is associative
GCF of 515 and 518 = GCF of 518 and 515
1. What is the GCF of 515 and 518?
Answer: GCF of 515 and 518 is 1.
2. What are the Factors of 515?
Answer: Factors of 515 are 1, 5, 103, 515. There are 4 integers that are factors of 515. The greatest factor of 515 is 515.
3. What are the Factors of 518?
Answer: Factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518. There are 8 integers that are factors of 518. The greatest factor of 518 is 518.
4. How to Find the GCF of 515 and 518?
Answer:
Greatest Common Factor of 515 and 518 = 1
Step 1: Find the prime factorization of 515
515 = 5 x 103
Step 2: Find the prime factorization of 518
518 = 2 x 7 x 37
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 515 and 518 is 1