What is the Greatest Common Factor of 3059 and 3073?

Greatest common factor (GCF) of 3059 and 3073 is 7.

GCF(3059,3073) = 7

We will now calculate the prime factors of 3059 and 3073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3059 and 3073.

How to find the GCF of 3059 and 3073?

We will first find the prime factorization of 3059 and 3073. After we will calculate the factors of 3059 and 3073 and find the biggest common factor number .

Step-1: Prime Factorization of 3059

Prime factors of 3059 are 7, 19, 23. Prime factorization of 3059 in exponential form is:

3059 = 7¹ × 19¹ × 23¹

Step-2: Prime Factorization of 3073

Prime factors of 3073 are 7, 439. Prime factorization of 3073 in exponential form is:

3073 = 7¹ × 439¹

Step-3: Factors of 3059

List of positive integer factors of 3059 that divides 3059 without a remainder.

1, 7, 19, 23, 133, 161, 437

Step-4: Factors of 3073

List of positive integer factors of 3073 that divides 3059 without a remainder.

1, 7, 439

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3059 and 3073. The biggest common factor number is the GCF number.
So the greatest common factor 3059 and 3073 is 7.

Also check out the Least Common Multiple of 3059 and 3073