What is the Greatest Common Factor of 32175 and 32189?

Greatest common factor (GCF) of 32175 and 32189 is 1.

GCF(32175,32189) = 1

We will now calculate the prime factors of 32175 and 32189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32175 and 32189.

How to find the GCF of 32175 and 32189?

We will first find the prime factorization of 32175 and 32189. After we will calculate the factors of 32175 and 32189 and find the biggest common factor number .

Step-1: Prime Factorization of 32175

Prime factors of 32175 are 3, 5, 11, 13. Prime factorization of 32175 in exponential form is:

32175 = 3² × 5² × 11¹ × 13¹

Step-2: Prime Factorization of 32189

Prime factors of 32189 are 32189. Prime factorization of 32189 in exponential form is:

32189 = 32189¹

Step-3: Factors of 32175

List of positive integer factors of 32175 that divides 32175 without a remainder.

1, 3, 5, 9, 11, 13, 15, 25, 33, 39, 45, 55, 65, 75, 99, 117, 143, 165, 195, 225, 275, 325, 429, 495, 585, 715, 825, 975, 1287, 2145, 2475, 2925, 3575, 6435, 10725

Step-4: Factors of 32189

List of positive integer factors of 32189 that divides 32175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32175 and 32189. The biggest common factor number is the GCF number.
So the greatest common factor 32175 and 32189 is 1.

Also check out the Least Common Multiple of 32175 and 32189