What is the Greatest Common Factor of 32763 and 32775?

Greatest common factor (GCF) of 32763 and 32775 is 3.

GCF(32763,32775) = 3

We will now calculate the prime factors of 32763 and 32775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32763 and 32775.

How to find the GCF of 32763 and 32775?

We will first find the prime factorization of 32763 and 32775. After we will calculate the factors of 32763 and 32775 and find the biggest common factor number .

Step-1: Prime Factorization of 32763

Prime factors of 32763 are 3, 67, 163. Prime factorization of 32763 in exponential form is:

32763 = 3¹ × 67¹ × 163¹

Step-2: 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-3: Factors of 32763

List of positive integer factors of 32763 that divides 32763 without a remainder.

1, 3, 67, 163, 201, 489, 10921

Step-4: Factors of 32775

List of positive integer factors of 32775 that divides 32763 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32763 and 32775. The biggest common factor number is the GCF number.
So the greatest common factor 32763 and 32775 is 3.

Also check out the Least Common Multiple of 32763 and 32775