What is the Greatest Common Factor of 34064 and 34081?

Greatest common factor (GCF) of 34064 and 34081 is 1.

GCF(34064,34081) = 1

We will now calculate the prime factors of 34064 and 34081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34064 and 34081.

How to find the GCF of 34064 and 34081?

We will first find the prime factorization of 34064 and 34081. After we will calculate the factors of 34064 and 34081 and find the biggest common factor number .

Step-1: Prime Factorization of 34064

Prime factors of 34064 are 2, 2129. Prime factorization of 34064 in exponential form is:

34064 = 2⁴ × 2129¹

Step-2: Prime Factorization of 34081

Prime factors of 34081 are 173, 197. Prime factorization of 34081 in exponential form is:

34081 = 173¹ × 197¹

Step-3: Factors of 34064

List of positive integer factors of 34064 that divides 34064 without a remainder.

1, 2, 4, 8, 16, 2129, 4258, 8516, 17032

Step-4: Factors of 34081

List of positive integer factors of 34081 that divides 34064 without a remainder.

1, 173, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34064 and 34081. The biggest common factor number is the GCF number.
So the greatest common factor 34064 and 34081 is 1.

Also check out the Least Common Multiple of 34064 and 34081