What is the Greatest Common Factor of 32775 and 32784?

Greatest common factor (GCF) of 32775 and 32784 is 3.

GCF(32775,32784) = 3

We will now calculate the prime factors of 32775 and 32784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32775 and 32784.

How to find the GCF of 32775 and 32784?

We will first find the prime factorization of 32775 and 32784. After we will calculate the factors of 32775 and 32784 and find the biggest common factor number .

Step-1: Prime Factorization of 32775

Prime factors of 32775 are 3, 5, 19, 23. Prime factorization of 32775 in exponential form is:

32775 = 3¹ × 5² × 19¹ × 23¹

Step-2: Prime Factorization of 32784

Prime factors of 32784 are 2, 3, 683. Prime factorization of 32784 in exponential form is:

32784 = 2⁴ × 3¹ × 683¹

Step-3: Factors of 32775

List of positive integer factors of 32775 that divides 32775 without a remainder.

1, 3, 5, 15, 19, 23, 25, 57, 69, 75, 95, 115, 285, 345, 437, 475, 575, 1311, 1425, 1725, 2185, 6555, 10925

Step-4: Factors of 32784

List of positive integer factors of 32784 that divides 32775 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 683, 1366, 2049, 2732, 4098, 5464, 8196, 10928, 16392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32775 and 32784. The biggest common factor number is the GCF number.
So the greatest common factor 32775 and 32784 is 3.

Also check out the Least Common Multiple of 32775 and 32784