What is the Greatest Common Factor of 10530 and 10545?

Greatest common factor (GCF) of 10530 and 10545 is 15.

GCF(10530,10545) = 15

We will now calculate the prime factors of 10530 and 10545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10530 and 10545.

How to find the GCF of 10530 and 10545?

We will first find the prime factorization of 10530 and 10545. After we will calculate the factors of 10530 and 10545 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 10545

Prime factors of 10545 are 3, 5, 19, 37. Prime factorization of 10545 in exponential form is:

10545 = 3¹ × 5¹ × 19¹ × 37¹

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 10545

List of positive integer factors of 10545 that divides 10530 without a remainder.

1, 3, 5, 15, 19, 37, 57, 95, 111, 185, 285, 555, 703, 2109, 3515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10530 and 10545. The biggest common factor number is the GCF number.
So the greatest common factor 10530 and 10545 is 15.

Also check out the Least Common Multiple of 10530 and 10545