What is the Greatest Common Factor of 34049 and 34064?

Greatest common factor (GCF) of 34049 and 34064 is 1.

GCF(34049,34064) = 1

We will now calculate the prime factors of 34049 and 34064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34049 and 34064.

How to find the GCF of 34049 and 34064?

We will first find the prime factorization of 34049 and 34064. After we will calculate the factors of 34049 and 34064 and find the biggest common factor number .

Step-1: Prime Factorization of 34049

Prime factors of 34049 are 79, 431. Prime factorization of 34049 in exponential form is:

34049 = 79¹ × 431¹

Step-2: Prime Factorization of 34064

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

34064 = 2⁴ × 2129¹

Step-3: Factors of 34049

List of positive integer factors of 34049 that divides 34049 without a remainder.

1, 79, 431

Step-4: Factors of 34064

List of positive integer factors of 34064 that divides 34049 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34049 and 34064. The biggest common factor number is the GCF number.
So the greatest common factor 34049 and 34064 is 1.

Also check out the Least Common Multiple of 34049 and 34064