What is the Greatest Common Factor of 32190 and 32195?

Greatest common factor (GCF) of 32190 and 32195 is 5.

GCF(32190,32195) = 5

We will now calculate the prime factors of 32190 and 32195, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32190 and 32195.

How to find the GCF of 32190 and 32195?

We will first find the prime factorization of 32190 and 32195. After we will calculate the factors of 32190 and 32195 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 32195

Prime factors of 32195 are 5, 47, 137. Prime factorization of 32195 in exponential form is:

32195 = 5¹ × 47¹ × 137¹

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 32195

List of positive integer factors of 32195 that divides 32190 without a remainder.

1, 5, 47, 137, 235, 685, 6439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32190 and 32195. The biggest common factor number is the GCF number.
So the greatest common factor 32190 and 32195 is 5.

Also check out the Least Common Multiple of 32190 and 32195