What is the Greatest Common Factor of 32475 and 32490?

Greatest common factor (GCF) of 32475 and 32490 is 15.

GCF(32475,32490) = 15

We will now calculate the prime factors of 32475 and 32490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32475 and 32490.

How to find the GCF of 32475 and 32490?

We will first find the prime factorization of 32475 and 32490. After we will calculate the factors of 32475 and 32490 and find the biggest common factor number .

Step-1: Prime Factorization of 32475

Prime factors of 32475 are 3, 5, 433. Prime factorization of 32475 in exponential form is:

32475 = 3¹ × 5² × 433¹

Step-2: Prime Factorization of 32490

Prime factors of 32490 are 2, 3, 5, 19. Prime factorization of 32490 in exponential form is:

32490 = 2¹ × 3² × 5¹ × 19²

Step-3: Factors of 32475

List of positive integer factors of 32475 that divides 32475 without a remainder.

1, 3, 5, 15, 25, 75, 433, 1299, 2165, 6495, 10825

Step-4: Factors of 32490

List of positive integer factors of 32490 that divides 32475 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 361, 570, 722, 855, 1083, 1710, 1805, 2166, 3249, 3610, 5415, 6498, 10830, 16245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32475 and 32490. The biggest common factor number is the GCF number.
So the greatest common factor 32475 and 32490 is 15.

Also check out the Least Common Multiple of 32475 and 32490