What is the Greatest Common Factor of 32064 and 32074?

Greatest common factor (GCF) of 32064 and 32074 is 2.

GCF(32064,32074) = 2

We will now calculate the prime factors of 32064 and 32074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32064 and 32074.

How to find the GCF of 32064 and 32074?

We will first find the prime factorization of 32064 and 32074. After we will calculate the factors of 32064 and 32074 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 32074

Prime factors of 32074 are 2, 7, 29, 79. Prime factorization of 32074 in exponential form is:

32074 = 2¹ × 7¹ × 29¹ × 79¹

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 32074

List of positive integer factors of 32074 that divides 32064 without a remainder.

1, 2, 7, 14, 29, 58, 79, 158, 203, 406, 553, 1106, 2291, 4582, 16037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32064 and 32074. The biggest common factor number is the GCF number.
So the greatest common factor 32064 and 32074 is 2.

Also check out the Least Common Multiple of 32064 and 32074