What is the Greatest Common Factor of 32160 and 32165?

Greatest common factor (GCF) of 32160 and 32165 is 5.

GCF(32160,32165) = 5

We will now calculate the prime factors of 32160 and 32165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32165.

How to find the GCF of 32160 and 32165?

We will first find the prime factorization of 32160 and 32165. After we will calculate the factors of 32160 and 32165 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 32165

Prime factors of 32165 are 5, 7, 919. Prime factorization of 32165 in exponential form is:

32165 = 5¹ × 7¹ × 919¹

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 32165

List of positive integer factors of 32165 that divides 32160 without a remainder.

1, 5, 7, 35, 919, 4595, 6433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32160 and 32165. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32165 is 5.

Also check out the Least Common Multiple of 32160 and 32165