What is the Greatest Common Factor of 34062 and 34077?

Greatest common factor (GCF) of 34062 and 34077 is 3.

GCF(34062,34077) = 3

We will now calculate the prime factors of 34062 and 34077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34062 and 34077.

How to find the GCF of 34062 and 34077?

We will first find the prime factorization of 34062 and 34077. After we will calculate the factors of 34062 and 34077 and find the biggest common factor number .

Step-1: Prime Factorization of 34062

Prime factors of 34062 are 2, 3, 7, 811. Prime factorization of 34062 in exponential form is:

34062 = 2¹ × 3¹ × 7¹ × 811¹

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 34062

List of positive integer factors of 34062 that divides 34062 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 811, 1622, 2433, 4866, 5677, 11354, 17031

Step-4: Factors of 34077

List of positive integer factors of 34077 that divides 34062 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34062 and 34077. The biggest common factor number is the GCF number.
So the greatest common factor 34062 and 34077 is 3.

Also check out the Least Common Multiple of 34062 and 34077