What is the Greatest Common Factor of 32700 and 32709?

Greatest common factor (GCF) of 32700 and 32709 is 3.

GCF(32700,32709) = 3

We will now calculate the prime factors of 32700 and 32709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32700 and 32709.

How to find the GCF of 32700 and 32709?

We will first find the prime factorization of 32700 and 32709. After we will calculate the factors of 32700 and 32709 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 32709

Prime factors of 32709 are 3, 10903. Prime factorization of 32709 in exponential form is:

32709 = 3¹ × 10903¹

Step-3: Factors of 32700

List of positive integer factors of 32700 that divides 32700 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

Step-4: Factors of 32709

List of positive integer factors of 32709 that divides 32700 without a remainder.

1, 3, 10903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32700 and 32709. The biggest common factor number is the GCF number.
So the greatest common factor 32700 and 32709 is 3.

Also check out the Least Common Multiple of 32700 and 32709