What is the Greatest Common Factor of 32544 and 32560?

Greatest common factor (GCF) of 32544 and 32560 is 16.

GCF(32544,32560) = 16

We will now calculate the prime factors of 32544 and 32560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32560.

How to find the GCF of 32544 and 32560?

We will first find the prime factorization of 32544 and 32560. After we will calculate the factors of 32544 and 32560 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 32560

Prime factors of 32560 are 2, 5, 11, 37. Prime factorization of 32560 in exponential form is:

32560 = 2⁴ × 5¹ × 11¹ × 37¹

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 32560

List of positive integer factors of 32560 that divides 32544 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 37, 40, 44, 55, 74, 80, 88, 110, 148, 176, 185, 220, 296, 370, 407, 440, 592, 740, 814, 880, 1480, 1628, 2035, 2960, 3256, 4070, 6512, 8140, 16280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32560. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32560 is 16.

Also check out the Least Common Multiple of 32544 and 32560