What is the Greatest Common Factor of 58705 and 58723?

Greatest common factor (GCF) of 58705 and 58723 is 1.

GCF(58705,58723) = 1

We will now calculate the prime factors of 58705 and 58723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58705 and 58723.

How to find the GCF of 58705 and 58723?

We will first find the prime factorization of 58705 and 58723. After we will calculate the factors of 58705 and 58723 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 58723

Prime factors of 58723 are 7, 8389. Prime factorization of 58723 in exponential form is:

58723 = 7¹ × 8389¹

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 58723

List of positive integer factors of 58723 that divides 58705 without a remainder.

1, 7, 8389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58705 and 58723. The biggest common factor number is the GCF number.
So the greatest common factor 58705 and 58723 is 1.

Also check out the Least Common Multiple of 58705 and 58723