What is the Greatest Common Factor of 32190 and 32199?

Greatest common factor (GCF) of 32190 and 32199 is 3.

GCF(32190,32199) = 3

We will now calculate the prime factors of 32190 and 32199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32190 and 32199.

How to find the GCF of 32190 and 32199?

We will first find the prime factorization of 32190 and 32199. After we will calculate the factors of 32190 and 32199 and find the biggest common factor number .

Step-1: Prime Factorization of 32190

Prime factors of 32190 are 2, 3, 5, 29, 37. Prime factorization of 32190 in exponential form is:

32190 = 2¹ × 3¹ × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 32199

Prime factors of 32199 are 3, 10733. Prime factorization of 32199 in exponential form is:

32199 = 3¹ × 10733¹

Step-3: Factors of 32190

List of positive integer factors of 32190 that divides 32190 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 37, 58, 74, 87, 111, 145, 174, 185, 222, 290, 370, 435, 555, 870, 1073, 1110, 2146, 3219, 5365, 6438, 10730, 16095

Step-4: Factors of 32199

List of positive integer factors of 32199 that divides 32190 without a remainder.

1, 3, 10733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32190 and 32199. The biggest common factor number is the GCF number.
So the greatest common factor 32190 and 32199 is 3.

Also check out the Least Common Multiple of 32190 and 32199