What is the Greatest Common Factor of 32162 and 32175?

Greatest common factor (GCF) of 32162 and 32175 is 13.

GCF(32162,32175) = 13

We will now calculate the prime factors of 32162 and 32175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32162 and 32175.

How to find the GCF of 32162 and 32175?

We will first find the prime factorization of 32162 and 32175. After we will calculate the factors of 32162 and 32175 and find the biggest common factor number .

Step-1: Prime Factorization of 32162

Prime factors of 32162 are 2, 13, 1237. Prime factorization of 32162 in exponential form is:

32162 = 2¹ × 13¹ × 1237¹

Step-2: 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-3: Factors of 32162

List of positive integer factors of 32162 that divides 32162 without a remainder.

1, 2, 13, 26, 1237, 2474, 16081

Step-4: Factors of 32175

List of positive integer factors of 32175 that divides 32162 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32162 and 32175. The biggest common factor number is the GCF number.
So the greatest common factor 32162 and 32175 is 13.

Also check out the Least Common Multiple of 32162 and 32175