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 2518, 2524 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2518 and 2524 is 2.
GCF(2518,2524) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2524
2 | 2524 |
2 | 1262 |
631 | 631 |
1 |
Prime factors of 2524 are 2,631. Prime factorization of 2524 in exponential form is:
2524 = 22×6311
∴ So by taking common prime factors GCF of 2518 and 2524 is 2
Factors of 2518
List of positive integer factors of 2518 that divides 2518 without a remainder.
1,2,1259,2518
Factors of 2524
List of positive integer factors of 2524 that divides 2524 without a remainder.
1,2,4,631,1262,2524
Greatest Common Factor
We found the factors and prime factorization of 2518 and 2524. The biggest common factor number is the GCF number.
So the greatest common factor 2518 and 2524 is 2.
Also check out the Least Common Multiple of 2518 and 2524
(i) The GCF of 2518 and 2524 is associative
GCF of 2518 and 2524 = GCF of 2524 and 2518
1. What is the GCF of 2518 and 2524?
Answer: GCF of 2518 and 2524 is 2.
2. 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.
3. What are the Factors of 2524?
Answer: Factors of 2524 are 1, 2, 4, 631, 1262, 2524. There are 6 integers that are factors of 2524. The greatest factor of 2524 is 2524.
4. How to Find the GCF of 2518 and 2524?
Answer:
Greatest Common Factor of 2518 and 2524 = 2
Step 1: Find the prime factorization of 2518
2518 = 2 x 1259
Step 2: Find the prime factorization of 2524
2524 = 2 x 2 x 631
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 2518 and 2524 is 2