What is the Greatest Common Factor of 32685 and 32700?

Greatest common factor (GCF) of 32685 and 32700 is 15.

GCF(32685,32700) = 15

We will now calculate the prime factors of 32685 and 32700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32685 and 32700.

How to find the GCF of 32685 and 32700?

We will first find the prime factorization of 32685 and 32700. After we will calculate the factors of 32685 and 32700 and find the biggest common factor number .

Step-1: Prime Factorization of 32685

Prime factors of 32685 are 3, 5, 2179. Prime factorization of 32685 in exponential form is:

32685 = 3¹ × 5¹ × 2179¹

Step-2: Prime Factorization of 32700

Prime factors of 32700 are 2, 3, 5, 109. Prime factorization of 32700 in exponential form is:

32700 = 2² × 3¹ × 5² × 109¹

Step-3: Factors of 32685

List of positive integer factors of 32685 that divides 32685 without a remainder.

1, 3, 5, 15, 2179, 6537, 10895

Step-4: Factors of 32700

List of positive integer factors of 32700 that divides 32685 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 109, 150, 218, 300, 327, 436, 545, 654, 1090, 1308, 1635, 2180, 2725, 3270, 5450, 6540, 8175, 10900, 16350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32685 and 32700. The biggest common factor number is the GCF number.
So the greatest common factor 32685 and 32700 is 15.

Also check out the Least Common Multiple of 32685 and 32700