What is the Greatest Common Factor of 19536 and 19545?

Greatest common factor (GCF) of 19536 and 19545 is 3.

GCF(19536,19545) = 3

We will now calculate the prime factors of 19536 and 19545, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19536 and 19545.

How to find the GCF of 19536 and 19545?

We will first find the prime factorization of 19536 and 19545. After we will calculate the factors of 19536 and 19545 and find the biggest common factor number .

Step-1: Prime Factorization of 19536

Prime factors of 19536 are 2, 3, 11, 37. Prime factorization of 19536 in exponential form is:

19536 = 2⁴ × 3¹ × 11¹ × 37¹

Step-2: Prime Factorization of 19545

Prime factors of 19545 are 3, 5, 1303. Prime factorization of 19545 in exponential form is:

19545 = 3¹ × 5¹ × 1303¹

Step-3: Factors of 19536

List of positive integer factors of 19536 that divides 19536 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 37, 44, 48, 66, 74, 88, 111, 132, 148, 176, 222, 264, 296, 407, 444, 528, 592, 814, 888, 1221, 1628, 1776, 2442, 3256, 4884, 6512, 9768

Step-4: Factors of 19545

List of positive integer factors of 19545 that divides 19536 without a remainder.

1, 3, 5, 15, 1303, 3909, 6515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19536 and 19545. The biggest common factor number is the GCF number.
So the greatest common factor 19536 and 19545 is 3.

Also check out the Least Common Multiple of 19536 and 19545