What is the Greatest Common Factor of 58729 and 58733?

Greatest common factor (GCF) of 58729 and 58733 is 1.

GCF(58729,58733) = 1

We will now calculate the prime factors of 58729 and 58733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58729 and 58733.

How to find the GCF of 58729 and 58733?

We will first find the prime factorization of 58729 and 58733. After we will calculate the factors of 58729 and 58733 and find the biggest common factor number .

Step-1: Prime Factorization of 58729

Prime factors of 58729 are 11, 19, 281. Prime factorization of 58729 in exponential form is:

58729 = 11¹ × 19¹ × 281¹

Step-2: Prime Factorization of 58733

Prime factors of 58733 are 58733. Prime factorization of 58733 in exponential form is:

58733 = 58733¹

Step-3: Factors of 58729

List of positive integer factors of 58729 that divides 58729 without a remainder.

1, 11, 19, 209, 281, 3091, 5339

Step-4: Factors of 58733

List of positive integer factors of 58733 that divides 58729 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58729 and 58733. The biggest common factor number is the GCF number.
So the greatest common factor 58729 and 58733 is 1.

Also check out the Least Common Multiple of 58729 and 58733