What is the Greatest Common Factor of 32175 and 32187?

Greatest common factor (GCF) of 32175 and 32187 is 3.

GCF(32175,32187) = 3

We will now calculate the prime factors of 32175 and 32187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32175 and 32187.

How to find the GCF of 32175 and 32187?

We will first find the prime factorization of 32175 and 32187. After we will calculate the factors of 32175 and 32187 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 32187

Prime factors of 32187 are 3, 10729. Prime factorization of 32187 in exponential form is:

32187 = 3¹ × 10729¹

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 32187

List of positive integer factors of 32187 that divides 32175 without a remainder.

1, 3, 10729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32175 and 32187. The biggest common factor number is the GCF number.
So the greatest common factor 32175 and 32187 is 3.

Also check out the Least Common Multiple of 32175 and 32187