What is the Greatest Common Factor of 58719 and 58738?

Greatest common factor (GCF) of 58719 and 58738 is 1.

GCF(58719,58738) = 1

We will now calculate the prime factors of 58719 and 58738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58719 and 58738.

How to find the GCF of 58719 and 58738?

We will first find the prime factorization of 58719 and 58738. After we will calculate the factors of 58719 and 58738 and find the biggest common factor number .

Step-1: Prime Factorization of 58719

Prime factors of 58719 are 3, 23, 37. Prime factorization of 58719 in exponential form is:

58719 = 3¹ × 23² × 37¹

Step-2: Prime Factorization of 58738

Prime factors of 58738 are 2, 43, 683. Prime factorization of 58738 in exponential form is:

58738 = 2¹ × 43¹ × 683¹

Step-3: Factors of 58719

List of positive integer factors of 58719 that divides 58719 without a remainder.

1, 3, 23, 37, 69, 111, 529, 851, 1587, 2553, 19573

Step-4: Factors of 58738

List of positive integer factors of 58738 that divides 58719 without a remainder.

1, 2, 43, 86, 683, 1366, 29369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58719 and 58738. The biggest common factor number is the GCF number.
So the greatest common factor 58719 and 58738 is 1.

Also check out the Least Common Multiple of 58719 and 58738