What is the Greatest Common Factor of 32160 and 32171?

Greatest common factor (GCF) of 32160 and 32171 is 1.

GCF(32160,32171) = 1

We will now calculate the prime factors of 32160 and 32171, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32171.

How to find the GCF of 32160 and 32171?

We will first find the prime factorization of 32160 and 32171. After we will calculate the factors of 32160 and 32171 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 32171

Prime factors of 32171 are 53, 607. Prime factorization of 32171 in exponential form is:

32171 = 53¹ × 607¹

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 32171

List of positive integer factors of 32171 that divides 32160 without a remainder.

1, 53, 607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32160 and 32171. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32171 is 1.

Also check out the Least Common Multiple of 32160 and 32171