What is the Greatest Common Factor of 32700 and 32715?

Greatest common factor (GCF) of 32700 and 32715 is 15.

GCF(32700,32715) = 15

We will now calculate the prime factors of 32700 and 32715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32700 and 32715.

How to find the GCF of 32700 and 32715?

We will first find the prime factorization of 32700 and 32715. After we will calculate the factors of 32700 and 32715 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 32715

Prime factors of 32715 are 3, 5, 727. Prime factorization of 32715 in exponential form is:

32715 = 3² × 5¹ × 727¹

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 32715

List of positive integer factors of 32715 that divides 32700 without a remainder.

1, 3, 5, 9, 15, 45, 727, 2181, 3635, 6543, 10905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32700 and 32715. The biggest common factor number is the GCF number.
So the greatest common factor 32700 and 32715 is 15.

Also check out the Least Common Multiple of 32700 and 32715