What is the Greatest Common Factor of 32730 and 32745?

Greatest common factor (GCF) of 32730 and 32745 is 15.

GCF(32730,32745) = 15

We will now calculate the prime factors of 32730 and 32745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32730 and 32745.

How to find the GCF of 32730 and 32745?

We will first find the prime factorization of 32730 and 32745. After we will calculate the factors of 32730 and 32745 and find the biggest common factor number .

Step-1: Prime Factorization of 32730

Prime factors of 32730 are 2, 3, 5, 1091. Prime factorization of 32730 in exponential form is:

32730 = 2¹ × 3¹ × 5¹ × 1091¹

Step-2: Prime Factorization of 32745

Prime factors of 32745 are 3, 5, 37, 59. Prime factorization of 32745 in exponential form is:

32745 = 3¹ × 5¹ × 37¹ × 59¹

Step-3: Factors of 32730

List of positive integer factors of 32730 that divides 32730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182, 3273, 5455, 6546, 10910, 16365

Step-4: Factors of 32745

List of positive integer factors of 32745 that divides 32730 without a remainder.

1, 3, 5, 15, 37, 59, 111, 177, 185, 295, 555, 885, 2183, 6549, 10915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32730 and 32745. The biggest common factor number is the GCF number.
So the greatest common factor 32730 and 32745 is 15.

Also check out the Least Common Multiple of 32730 and 32745