What is the Greatest Common Factor of 32544 and 32559?

Greatest common factor (GCF) of 32544 and 32559 is 3.

GCF(32544,32559) = 3

We will now calculate the prime factors of 32544 and 32559, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32559.

How to find the GCF of 32544 and 32559?

We will first find the prime factorization of 32544 and 32559. After we will calculate the factors of 32544 and 32559 and find the biggest common factor number .

Step-1: Prime Factorization of 32544

Prime factors of 32544 are 2, 3, 113. Prime factorization of 32544 in exponential form is:

32544 = 2⁵ × 3² × 113¹

Step-2: Prime Factorization of 32559

Prime factors of 32559 are 3, 10853. Prime factorization of 32559 in exponential form is:

32559 = 3¹ × 10853¹

Step-3: Factors of 32544

List of positive integer factors of 32544 that divides 32544 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 113, 144, 226, 288, 339, 452, 678, 904, 1017, 1356, 1808, 2034, 2712, 3616, 4068, 5424, 8136, 10848, 16272

Step-4: Factors of 32559

List of positive integer factors of 32559 that divides 32544 without a remainder.

1, 3, 10853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32559. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32559 is 3.

Also check out the Least Common Multiple of 32544 and 32559