What is the Greatest Common Factor of 32475 and 32484?

Greatest common factor (GCF) of 32475 and 32484 is 3.

GCF(32475,32484) = 3

We will now calculate the prime factors of 32475 and 32484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32475 and 32484.

How to find the GCF of 32475 and 32484?

We will first find the prime factorization of 32475 and 32484. After we will calculate the factors of 32475 and 32484 and find the biggest common factor number .

Step-1: Prime Factorization of 32475

Prime factors of 32475 are 3, 5, 433. Prime factorization of 32475 in exponential form is:

32475 = 3¹ × 5² × 433¹

Step-2: Prime Factorization of 32484

Prime factors of 32484 are 2, 3, 2707. Prime factorization of 32484 in exponential form is:

32484 = 2² × 3¹ × 2707¹

Step-3: Factors of 32475

List of positive integer factors of 32475 that divides 32475 without a remainder.

1, 3, 5, 15, 25, 75, 433, 1299, 2165, 6495, 10825

Step-4: Factors of 32484

List of positive integer factors of 32484 that divides 32475 without a remainder.

1, 2, 3, 4, 6, 12, 2707, 5414, 8121, 10828, 16242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32475 and 32484. The biggest common factor number is the GCF number.
So the greatest common factor 32475 and 32484 is 3.

Also check out the Least Common Multiple of 32475 and 32484