What is the Greatest Common Factor of 34059 and 34077?

Greatest common factor (GCF) of 34059 and 34077 is 3.

GCF(34059,34077) = 3

We will now calculate the prime factors of 34059 and 34077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34059 and 34077.

How to find the GCF of 34059 and 34077?

We will first find the prime factorization of 34059 and 34077. After we will calculate the factors of 34059 and 34077 and find the biggest common factor number .

Step-1: Prime Factorization of 34059

Prime factors of 34059 are 3, 11353. Prime factorization of 34059 in exponential form is:

34059 = 3¹ × 11353¹

Step-2: Prime Factorization of 34077

Prime factors of 34077 are 3, 37, 307. Prime factorization of 34077 in exponential form is:

34077 = 3¹ × 37¹ × 307¹

Step-3: Factors of 34059

List of positive integer factors of 34059 that divides 34059 without a remainder.

1, 3, 11353

Step-4: Factors of 34077

List of positive integer factors of 34077 that divides 34059 without a remainder.

1, 3, 37, 111, 307, 921, 11359

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34059 and 34077. The biggest common factor number is the GCF number.
So the greatest common factor 34059 and 34077 is 3.

Also check out the Least Common Multiple of 34059 and 34077