What is the Greatest Common Factor of 32700 and 32718?

Greatest common factor (GCF) of 32700 and 32718 is 6.

GCF(32700,32718) = 6

We will now calculate the prime factors of 32700 and 32718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32700 and 32718.

How to find the GCF of 32700 and 32718?

We will first find the prime factorization of 32700 and 32718. After we will calculate the factors of 32700 and 32718 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 32718

Prime factors of 32718 are 2, 3, 7, 19, 41. Prime factorization of 32718 in exponential form is:

32718 = 2¹ × 3¹ × 7¹ × 19¹ × 41¹

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 32718

List of positive integer factors of 32718 that divides 32700 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 41, 42, 57, 82, 114, 123, 133, 246, 266, 287, 399, 574, 779, 798, 861, 1558, 1722, 2337, 4674, 5453, 10906, 16359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32700 and 32718. The biggest common factor number is the GCF number.
So the greatest common factor 32700 and 32718 is 6.

Also check out the Least Common Multiple of 32700 and 32718