What is the Greatest Common Factor of 32064 and 32068?

Greatest common factor (GCF) of 32064 and 32068 is 4.

GCF(32064,32068) = 4

We will now calculate the prime factors of 32064 and 32068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32064 and 32068.

How to find the GCF of 32064 and 32068?

We will first find the prime factorization of 32064 and 32068. After we will calculate the factors of 32064 and 32068 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 32068

Prime factors of 32068 are 2, 8017. Prime factorization of 32068 in exponential form is:

32068 = 2² × 8017¹

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 32068

List of positive integer factors of 32068 that divides 32064 without a remainder.

1, 2, 4, 8017, 16034

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32064 and 32068. The biggest common factor number is the GCF number.
So the greatest common factor 32064 and 32068 is 4.

Also check out the Least Common Multiple of 32064 and 32068