What is the Greatest Common Factor of 34064 and 34075?

Greatest common factor (GCF) of 34064 and 34075 is 1.

GCF(34064,34075) = 1

We will now calculate the prime factors of 34064 and 34075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34064 and 34075.

How to find the GCF of 34064 and 34075?

We will first find the prime factorization of 34064 and 34075. After we will calculate the factors of 34064 and 34075 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 34075

Prime factors of 34075 are 5, 29, 47. Prime factorization of 34075 in exponential form is:

34075 = 5² × 29¹ × 47¹

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 34075

List of positive integer factors of 34075 that divides 34064 without a remainder.

1, 5, 25, 29, 47, 145, 235, 725, 1175, 1363, 6815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34064 and 34075. The biggest common factor number is the GCF number.
So the greatest common factor 34064 and 34075 is 1.

Also check out the Least Common Multiple of 34064 and 34075