What is the Greatest Common Factor of 34064 and 34078?

Greatest common factor (GCF) of 34064 and 34078 is 2.

GCF(34064,34078) = 2

We will now calculate the prime factors of 34064 and 34078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34064 and 34078.

How to find the GCF of 34064 and 34078?

We will first find the prime factorization of 34064 and 34078. After we will calculate the factors of 34064 and 34078 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 34078

Prime factors of 34078 are 2, 11, 1549. Prime factorization of 34078 in exponential form is:

34078 = 2¹ × 11¹ × 1549¹

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 34078

List of positive integer factors of 34078 that divides 34064 without a remainder.

1, 2, 11, 22, 1549, 3098, 17039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34064 and 34078. The biggest common factor number is the GCF number.
So the greatest common factor 34064 and 34078 is 2.

Also check out the Least Common Multiple of 34064 and 34078