What is the Greatest Common Factor of 59073 and 59079?

Greatest common factor (GCF) of 59073 and 59079 is 3.

GCF(59073,59079) = 3

We will now calculate the prime factors of 59073 and 59079, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59073 and 59079.

How to find the GCF of 59073 and 59079?

We will first find the prime factorization of 59073 and 59079. After we will calculate the factors of 59073 and 59079 and find the biggest common factor number .

Step-1: Prime Factorization of 59073

Prime factors of 59073 are 3, 7, 29, 97. Prime factorization of 59073 in exponential form is:

59073 = 3¹ × 7¹ × 29¹ × 97¹

Step-2: Prime Factorization of 59079

Prime factors of 59079 are 3, 47, 419. Prime factorization of 59079 in exponential form is:

59079 = 3¹ × 47¹ × 419¹

Step-3: Factors of 59073

List of positive integer factors of 59073 that divides 59073 without a remainder.

1, 3, 7, 21, 29, 87, 97, 203, 291, 609, 679, 2037, 2813, 8439, 19691

Step-4: Factors of 59079

List of positive integer factors of 59079 that divides 59073 without a remainder.

1, 3, 47, 141, 419, 1257, 19693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59073 and 59079. The biggest common factor number is the GCF number.
So the greatest common factor 59073 and 59079 is 3.

Also check out the Least Common Multiple of 59073 and 59079