What is the Greatest Common Factor of 34077 and 34083?

Greatest common factor (GCF) of 34077 and 34083 is 3.

GCF(34077,34083) = 3

We will now calculate the prime factors of 34077 and 34083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34077 and 34083.

How to find the GCF of 34077 and 34083?

We will first find the prime factorization of 34077 and 34083. After we will calculate the factors of 34077 and 34083 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34083

Prime factors of 34083 are 3, 7, 541. Prime factorization of 34083 in exponential form is:

34083 = 3² × 7¹ × 541¹

Step-3: Factors of 34077

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

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

Step-4: Factors of 34083

List of positive integer factors of 34083 that divides 34077 without a remainder.

1, 3, 7, 9, 21, 63, 541, 1623, 3787, 4869, 11361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34077 and 34083. The biggest common factor number is the GCF number.
So the greatest common factor 34077 and 34083 is 3.

Also check out the Least Common Multiple of 34077 and 34083