What is the Greatest Common Factor of 58705 and 58711?

Greatest common factor (GCF) of 58705 and 58711 is 1.

GCF(58705,58711) = 1

We will now calculate the prime factors of 58705 and 58711, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58705 and 58711.

How to find the GCF of 58705 and 58711?

We will first find the prime factorization of 58705 and 58711. After we will calculate the factors of 58705 and 58711 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 58711

Prime factors of 58711 are 58711. Prime factorization of 58711 in exponential form is:

58711 = 58711¹

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 58711

List of positive integer factors of 58711 that divides 58705 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58705 and 58711. The biggest common factor number is the GCF number.
So the greatest common factor 58705 and 58711 is 1.

Also check out the Least Common Multiple of 58705 and 58711