What is the Greatest Common Factor of 3074 and 3089?

Greatest common factor (GCF) of 3074 and 3089 is 1.

GCF(3074,3089) = 1

We will now calculate the prime factors of 3074 and 3089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3074 and 3089.

How to find the GCF of 3074 and 3089?

We will first find the prime factorization of 3074 and 3089. After we will calculate the factors of 3074 and 3089 and find the biggest common factor number .

Step-1: Prime Factorization of 3074

Prime factors of 3074 are 2, 29, 53. Prime factorization of 3074 in exponential form is:

3074 = 2¹ × 29¹ × 53¹

Step-2: Prime Factorization of 3089

Prime factors of 3089 are 3089. Prime factorization of 3089 in exponential form is:

3089 = 3089¹

Step-3: Factors of 3074

List of positive integer factors of 3074 that divides 3074 without a remainder.

1, 2, 29, 53, 58, 106, 1537

Step-4: Factors of 3089

List of positive integer factors of 3089 that divides 3074 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3074 and 3089. The biggest common factor number is the GCF number.
So the greatest common factor 3074 and 3089 is 1.

Also check out the Least Common Multiple of 3074 and 3089