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 6524, 6530 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 6524 and 6530 is 2.
GCF(6524,6530) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 6524
2 | 6524 |
2 | 3262 |
7 | 1631 |
233 | 233 |
1 |
Prime factors of 6524 are 2,7,233. Prime factorization of 6524 in exponential form is:
6524 = 22×71×2331
Prime Factorization of 6530
2 | 6530 |
5 | 3265 |
653 | 653 |
1 |
Prime factors of 6530 are 2,5,653. Prime factorization of 6530 in exponential form is:
6530 = 21×51×6531
∴ So by taking common prime factors GCF of 6524 and 6530 is 2
Factors of 6524
List of positive integer factors of 6524 that divides 6524 without a remainder.
1,2,4,7,14,28,233,466,932,1631,3262,6524
Factors of 6530
List of positive integer factors of 6530 that divides 6530 without a remainder.
1,2,5,10,653,1306,3265,6530
Greatest Common Factor
We found the factors and prime factorization of 6524 and 6530. The biggest common factor number is the GCF number.
So the greatest common factor 6524 and 6530 is 2.
Also check out the Least Common Multiple of 6524 and 6530
(i) The GCF of 6524 and 6530 is associative
GCF of 6524 and 6530 = GCF of 6530 and 6524
1. What is the GCF of 6524 and 6530?
Answer: GCF of 6524 and 6530 is 2.
2. What are the Factors of 6524?
Answer: Factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524. There are 12 integers that are factors of 6524. The greatest factor of 6524 is 6524.
3. What are the Factors of 6530?
Answer: Factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530. There are 8 integers that are factors of 6530. The greatest factor of 6530 is 6530.
4. How to Find the GCF of 6524 and 6530?
Answer:
Greatest Common Factor of 6524 and 6530 = 2
Step 1: Find the prime factorization of 6524
6524 = 2 x 2 x 7 x 233
Step 2: Find the prime factorization of 6530
6530 = 2 x 5 x 653
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 6524 and 6530 is 2