What is the Greatest Common Factor of 32775 and 32794?

Greatest common factor (GCF) of 32775 and 32794 is 19.

GCF(32775,32794) = 19

We will now calculate the prime factors of 32775 and 32794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32775 and 32794.

How to find the GCF of 32775 and 32794?

We will first find the prime factorization of 32775 and 32794. After we will calculate the factors of 32775 and 32794 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 32794

Prime factors of 32794 are 2, 19, 863. Prime factorization of 32794 in exponential form is:

32794 = 2¹ × 19¹ × 863¹

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 32794

List of positive integer factors of 32794 that divides 32775 without a remainder.

1, 2, 19, 38, 863, 1726, 16397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32775 and 32794. The biggest common factor number is the GCF number.
So the greatest common factor 32775 and 32794 is 19.

Also check out the Least Common Multiple of 32775 and 32794