What is the Greatest Common Factor of 34077 and 34096?

Greatest common factor (GCF) of 34077 and 34096 is 1.

GCF(34077,34096) = 1

We will now calculate the prime factors of 34077 and 34096, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34077 and 34096.

How to find the GCF of 34077 and 34096?

We will first find the prime factorization of 34077 and 34096. After we will calculate the factors of 34077 and 34096 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 34096

Prime factors of 34096 are 2, 2131. Prime factorization of 34096 in exponential form is:

34096 = 2⁴ × 2131¹

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 34096

List of positive integer factors of 34096 that divides 34077 without a remainder.

1, 2, 4, 8, 16, 2131, 4262, 8524, 17048

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34077 and 34096. The biggest common factor number is the GCF number.
So the greatest common factor 34077 and 34096 is 1.

Also check out the Least Common Multiple of 34077 and 34096