What is the Greatest Common Factor of 32544 and 32550?

Greatest common factor (GCF) of 32544 and 32550 is 6.

GCF(32544,32550) = 6

We will now calculate the prime factors of 32544 and 32550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32544 and 32550.

How to find the GCF of 32544 and 32550?

We will first find the prime factorization of 32544 and 32550. After we will calculate the factors of 32544 and 32550 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 32550

Prime factors of 32550 are 2, 3, 5, 7, 31. Prime factorization of 32550 in exponential form is:

32550 = 2¹ × 3¹ × 5² × 7¹ × 31¹

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 32550

List of positive integer factors of 32550 that divides 32544 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 31, 35, 42, 50, 62, 70, 75, 93, 105, 150, 155, 175, 186, 210, 217, 310, 350, 434, 465, 525, 651, 775, 930, 1050, 1085, 1302, 1550, 2170, 2325, 3255, 4650, 5425, 6510, 10850, 16275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32544 and 32550. The biggest common factor number is the GCF number.
So the greatest common factor 32544 and 32550 is 6.

Also check out the Least Common Multiple of 32544 and 32550