What is the Greatest Common Factor of 34078 and 34089?

Greatest common factor (GCF) of 34078 and 34089 is 11.

GCF(34078,34089) = 11

We will now calculate the prime factors of 34078 and 34089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34078 and 34089.

How to find the GCF of 34078 and 34089?

We will first find the prime factorization of 34078 and 34089. After we will calculate the factors of 34078 and 34089 and find the biggest common factor number .

Step-1: Prime Factorization of 34078

Prime factors of 34078 are 2, 11, 1549. Prime factorization of 34078 in exponential form is:

34078 = 2¹ × 11¹ × 1549¹

Step-2: Prime Factorization of 34089

Prime factors of 34089 are 3, 11, 1033. Prime factorization of 34089 in exponential form is:

34089 = 3¹ × 11¹ × 1033¹

Step-3: Factors of 34078

List of positive integer factors of 34078 that divides 34078 without a remainder.

1, 2, 11, 22, 1549, 3098, 17039

Step-4: Factors of 34089

List of positive integer factors of 34089 that divides 34078 without a remainder.

1, 3, 11, 33, 1033, 3099, 11363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34078 and 34089. The biggest common factor number is the GCF number.
So the greatest common factor 34078 and 34089 is 11.

Also check out the Least Common Multiple of 34078 and 34089