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 2524, 2529 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2524 and 2529 is 1.
GCF(2524,2529) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 2529
3 | 2529 |
3 | 843 |
281 | 281 |
1 |
Prime factors of 2529 are 3,281. Prime factorization of 2529 in exponential form is:
2529 = 32×2811
∴ So by taking common prime factors GCF of 2524 and 2529 is 1
Factors of 2524
List of positive integer factors of 2524 that divides 2524 without a remainder.
1,2,4,631,1262,2524
Factors of 2529
List of positive integer factors of 2529 that divides 2529 without a remainder.
1,3,9,281,843,2529
Greatest Common Factor
We found the factors and prime factorization of 2524 and 2529. The biggest common factor number is the GCF number.
So the greatest common factor 2524 and 2529 is 1.
Also check out the Least Common Multiple of 2524 and 2529
(i) The GCF of 2524 and 2529 is associative
GCF of 2524 and 2529 = GCF of 2529 and 2524
1. What is the GCF of 2524 and 2529?
Answer: GCF of 2524 and 2529 is 1.
2. 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.
3. What are the Factors of 2529?
Answer: Factors of 2529 are 1, 3, 9, 281, 843, 2529. There are 6 integers that are factors of 2529. The greatest factor of 2529 is 2529.
4. How to Find the GCF of 2524 and 2529?
Answer:
Greatest Common Factor of 2524 and 2529 = 1
Step 1: Find the prime factorization of 2524
2524 = 2 x 2 x 631
Step 2: Find the prime factorization of 2529
2529 = 3 x 3 x 281
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 2524 and 2529 is 1