What is the Greatest Common Factor of 32160 and 32167?

Greatest common factor (GCF) of 32160 and 32167 is 1.

GCF(32160,32167) = 1

We will now calculate the prime factors of 32160 and 32167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32160 and 32167.

How to find the GCF of 32160 and 32167?

We will first find the prime factorization of 32160 and 32167. After we will calculate the factors of 32160 and 32167 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 32167

Prime factors of 32167 are 19, 1693. Prime factorization of 32167 in exponential form is:

32167 = 19¹ × 1693¹

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 32167

List of positive integer factors of 32167 that divides 32160 without a remainder.

1, 19, 1693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32160 and 32167. The biggest common factor number is the GCF number.
So the greatest common factor 32160 and 32167 is 1.

Also check out the Least Common Multiple of 32160 and 32167