What is the Greatest Common Factor of 10530 and 10548?

Greatest common factor (GCF) of 10530 and 10548 is 18.

GCF(10530,10548) = 18

We will now calculate the prime factors of 10530 and 10548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10530 and 10548.

How to find the GCF of 10530 and 10548?

We will first find the prime factorization of 10530 and 10548. After we will calculate the factors of 10530 and 10548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 10548

Prime factors of 10548 are 2, 3, 293. Prime factorization of 10548 in exponential form is:

10548 = 2² × 3² × 293¹

Step-3: Factors of 10530

List of positive integer factors of 10530 that divides 10530 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

Step-4: Factors of 10548

List of positive integer factors of 10548 that divides 10530 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 293, 586, 879, 1172, 1758, 2637, 3516, 5274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10530 and 10548. The biggest common factor number is the GCF number.
So the greatest common factor 10530 and 10548 is 18.

Also check out the Least Common Multiple of 10530 and 10548