What is the Greatest Common Factor of 58705 and 58719?

Greatest common factor (GCF) of 58705 and 58719 is 1.

GCF(58705,58719) = 1

We will now calculate the prime factors of 58705 and 58719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58705 and 58719.

How to find the GCF of 58705 and 58719?

We will first find the prime factorization of 58705 and 58719. After we will calculate the factors of 58705 and 58719 and find the biggest common factor number .

Step-1: Prime Factorization of 58705

Prime factors of 58705 are 5, 59, 199. Prime factorization of 58705 in exponential form is:

58705 = 5¹ × 59¹ × 199¹

Step-2: 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-3: Factors of 58705

List of positive integer factors of 58705 that divides 58705 without a remainder.

1, 5, 59, 199, 295, 995, 11741

Step-4: Factors of 58719

List of positive integer factors of 58719 that divides 58705 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58705 and 58719. The biggest common factor number is the GCF number.
So the greatest common factor 58705 and 58719 is 1.

Also check out the Least Common Multiple of 58705 and 58719