What is the Greatest Common Factor of 32064 and 32083?

Greatest common factor (GCF) of 32064 and 32083 is 1.

GCF(32064,32083) = 1

We will now calculate the prime factors of 32064 and 32083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32064 and 32083.

How to find the GCF of 32064 and 32083?

We will first find the prime factorization of 32064 and 32083. After we will calculate the factors of 32064 and 32083 and find the biggest common factor number .

Step-1: Prime Factorization of 32064

Prime factors of 32064 are 2, 3, 167. Prime factorization of 32064 in exponential form is:

32064 = 2⁶ × 3¹ × 167¹

Step-2: Prime Factorization of 32083

Prime factors of 32083 are 32083. Prime factorization of 32083 in exponential form is:

32083 = 32083¹

Step-3: Factors of 32064

List of positive integer factors of 32064 that divides 32064 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 167, 192, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 5344, 8016, 10688, 16032

Step-4: Factors of 32083

List of positive integer factors of 32083 that divides 32064 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32064 and 32083. The biggest common factor number is the GCF number.
So the greatest common factor 32064 and 32083 is 1.

Also check out the Least Common Multiple of 32064 and 32083