What is the Greatest Common Factor of 32160 and 32166?

Greatest common factor (GCF) of 32160 and 32166 is 6.

GCF(32160,32166) = 6

We will now calculate the prime factors of 32160 and 32166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32166.

How to find the GCF of 32160 and 32166?

We will first find the prime factorization of 32160 and 32166. After we will calculate the factors of 32160 and 32166 and find the biggest common factor number .

Step-1: Prime Factorization of 32160

Prime factors of 32160 are 2, 3, 5, 67. Prime factorization of 32160 in exponential form is:

32160 = 2⁵ × 3¹ × 5¹ × 67¹

Step-2: Prime Factorization of 32166

Prime factors of 32166 are 2, 3, 1787. Prime factorization of 32166 in exponential form is:

32166 = 2¹ × 3² × 1787¹

Step-3: Factors of 32160

List of positive integer factors of 32160 that divides 32160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 67, 80, 96, 120, 134, 160, 201, 240, 268, 335, 402, 480, 536, 670, 804, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 5360, 6432, 8040, 10720, 16080

Step-4: Factors of 32166

List of positive integer factors of 32166 that divides 32160 without a remainder.

1, 2, 3, 6, 9, 18, 1787, 3574, 5361, 10722, 16083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32160 and 32166. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32166 is 6.

Also check out the Least Common Multiple of 32160 and 32166