What is the Greatest Common Factor of 32484 and 32496?

Greatest common factor (GCF) of 32484 and 32496 is 12.

GCF(32484,32496) = 12

We will now calculate the prime factors of 32484 and 32496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32484 and 32496.

How to find the GCF of 32484 and 32496?

We will first find the prime factorization of 32484 and 32496. After we will calculate the factors of 32484 and 32496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32496

Prime factors of 32496 are 2, 3, 677. Prime factorization of 32496 in exponential form is:

32496 = 2⁴ × 3¹ × 677¹

Step-3: Factors of 32484

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

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

Step-4: Factors of 32496

List of positive integer factors of 32496 that divides 32484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 677, 1354, 2031, 2708, 4062, 5416, 8124, 10832, 16248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32484 and 32496. The biggest common factor number is the GCF number.
So the greatest common factor 32484 and 32496 is 12.

Also check out the Least Common Multiple of 32484 and 32496