What is the Greatest Common Factor of 32544 and 32561?

Greatest common factor (GCF) of 32544 and 32561 is 1.

GCF(32544,32561) = 1

We will now calculate the prime factors of 32544 and 32561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32561.

How to find the GCF of 32544 and 32561?

We will first find the prime factorization of 32544 and 32561. After we will calculate the factors of 32544 and 32561 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 32561

Prime factors of 32561 are 32561. Prime factorization of 32561 in exponential form is:

32561 = 32561¹

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 32561

List of positive integer factors of 32561 that divides 32544 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32561. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32561 is 1.

Also check out the Least Common Multiple of 32544 and 32561