What is the Greatest Common Factor of 32160 and 32170?

Greatest common factor (GCF) of 32160 and 32170 is 10.

GCF(32160,32170) = 10

We will now calculate the prime factors of 32160 and 32170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32170.

How to find the GCF of 32160 and 32170?

We will first find the prime factorization of 32160 and 32170. After we will calculate the factors of 32160 and 32170 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 32170

Prime factors of 32170 are 2, 5, 3217. Prime factorization of 32170 in exponential form is:

32170 = 2¹ × 5¹ × 3217¹

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 32170

List of positive integer factors of 32170 that divides 32160 without a remainder.

1, 2, 5, 10, 3217, 6434, 16085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32160 and 32170. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32170 is 10.

Also check out the Least Common Multiple of 32160 and 32170