What is the Greatest Common Factor of 32164 and 32175?

Greatest common factor (GCF) of 32164 and 32175 is 11.

GCF(32164,32175) = 11

We will now calculate the prime factors of 32164 and 32175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32164 and 32175.

How to find the GCF of 32164 and 32175?

We will first find the prime factorization of 32164 and 32175. After we will calculate the factors of 32164 and 32175 and find the biggest common factor number .

Step-1: Prime Factorization of 32164

Prime factors of 32164 are 2, 11, 17, 43. Prime factorization of 32164 in exponential form is:

32164 = 2² × 11¹ × 17¹ × 43¹

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 32164

List of positive integer factors of 32164 that divides 32164 without a remainder.

1, 2, 4, 11, 17, 22, 34, 43, 44, 68, 86, 172, 187, 374, 473, 731, 748, 946, 1462, 1892, 2924, 8041, 16082

Step-4: Factors of 32175

List of positive integer factors of 32175 that divides 32164 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 32164 and 32175. The biggest common factor number is the GCF number.
So the greatest common factor 32164 and 32175 is 11.

Also check out the Least Common Multiple of 32164 and 32175