What is the Greatest Common Factor of 20535 and 20544?

Greatest common factor (GCF) of 20535 and 20544 is 3.

GCF(20535,20544) = 3

We will now calculate the prime factors of 20535 and 20544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20535 and 20544.

How to find the GCF of 20535 and 20544?

We will first find the prime factorization of 20535 and 20544. After we will calculate the factors of 20535 and 20544 and find the biggest common factor number .

Step-1: Prime Factorization of 20535

Prime factors of 20535 are 3, 5, 37. Prime factorization of 20535 in exponential form is:

20535 = 3¹ × 5¹ × 37²

Step-2: Prime Factorization of 20544

Prime factors of 20544 are 2, 3, 107. Prime factorization of 20544 in exponential form is:

20544 = 2⁶ × 3¹ × 107¹

Step-3: Factors of 20535

List of positive integer factors of 20535 that divides 20535 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555, 1369, 4107, 6845

Step-4: Factors of 20544

List of positive integer factors of 20544 that divides 20535 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 107, 192, 214, 321, 428, 642, 856, 1284, 1712, 2568, 3424, 5136, 6848, 10272

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20535 and 20544. The biggest common factor number is the GCF number.
So the greatest common factor 20535 and 20544 is 3.

Also check out the Least Common Multiple of 20535 and 20544