What is the Greatest Common Factor of 32544 and 32554?

Greatest common factor (GCF) of 32544 and 32554 is 2.

GCF(32544,32554) = 2

We will now calculate the prime factors of 32544 and 32554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32554.

How to find the GCF of 32544 and 32554?

We will first find the prime factorization of 32544 and 32554. After we will calculate the factors of 32544 and 32554 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 32554

Prime factors of 32554 are 2, 41, 397. Prime factorization of 32554 in exponential form is:

32554 = 2¹ × 41¹ × 397¹

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 32554

List of positive integer factors of 32554 that divides 32544 without a remainder.

1, 2, 41, 82, 397, 794, 16277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32554. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32554 is 2.

Also check out the Least Common Multiple of 32544 and 32554