What is the Greatest Common Factor of 10524 and 10530?

Greatest common factor (GCF) of 10524 and 10530 is 6.

GCF(10524,10530) = 6

We will now calculate the prime factors of 10524 and 10530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10524 and 10530.

How to find the GCF of 10524 and 10530?

We will first find the prime factorization of 10524 and 10530. After we will calculate the factors of 10524 and 10530 and find the biggest common factor number .

Step-1: Prime Factorization of 10524

Prime factors of 10524 are 2, 3, 877. Prime factorization of 10524 in exponential form is:

10524 = 2² × 3¹ × 877¹

Step-2: Prime Factorization of 10530

Prime factors of 10530 are 2, 3, 5, 13. Prime factorization of 10530 in exponential form is:

10530 = 2¹ × 3⁴ × 5¹ × 13¹

Step-3: Factors of 10524

List of positive integer factors of 10524 that divides 10524 without a remainder.

1, 2, 3, 4, 6, 12, 877, 1754, 2631, 3508, 5262

Step-4: Factors of 10530

List of positive integer factors of 10530 that divides 10524 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 81, 90, 117, 130, 135, 162, 195, 234, 270, 351, 390, 405, 585, 702, 810, 1053, 1170, 1755, 2106, 3510, 5265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10524 and 10530. The biggest common factor number is the GCF number.
So the greatest common factor 10524 and 10530 is 6.

Also check out the Least Common Multiple of 10524 and 10530