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 2511, 2518 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2511 and 2518 is 1.
GCF(2511,2518) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2511
3 | 2511 |
3 | 837 |
3 | 279 |
3 | 93 |
31 | 31 |
1 |
Prime factors of 2511 are 3,31. Prime factorization of 2511 in exponential form is:
2511 = 34×311
Prime Factorization of 2518
2 | 2518 |
1259 | 1259 |
1 |
Prime factors of 2518 are 2,1259. Prime factorization of 2518 in exponential form is:
2518 = 21×12591
∴ So by taking common prime factors GCF of 2511 and 2518 is 1
Factors of 2511
List of positive integer factors of 2511 that divides 2511 without a remainder.
1,3,9,27,31,81,93,279,837,2511
Factors of 2518
List of positive integer factors of 2518 that divides 2518 without a remainder.
1,2,1259,2518
Greatest Common Factor
We found the factors and prime factorization of 2511 and 2518. The biggest common factor number is the GCF number.
So the greatest common factor 2511 and 2518 is 1.
Also check out the Least Common Multiple of 2511 and 2518
(i) The GCF of 2511 and 2518 is associative
GCF of 2511 and 2518 = GCF of 2518 and 2511
1. What is the GCF of 2511 and 2518?
Answer: GCF of 2511 and 2518 is 1.
2. What are the Factors of 2511?
Answer: Factors of 2511 are 1, 3, 9, 27, 31, 81, 93, 279, 837, 2511. There are 10 integers that are factors of 2511. The greatest factor of 2511 is 2511.
3. What are the Factors of 2518?
Answer: Factors of 2518 are 1, 2, 1259, 2518. There are 4 integers that are factors of 2518. The greatest factor of 2518 is 2518.
4. How to Find the GCF of 2511 and 2518?
Answer:
Greatest Common Factor of 2511 and 2518 = 1
Step 1: Find the prime factorization of 2511
2511 = 3 x 3 x 3 x 3 x 31
Step 2: Find the prime factorization of 2518
2518 = 2 x 1259
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 2511 and 2518 is 1