What is the Greatest Common Factor of 58705 and 58709?

Greatest common factor (GCF) of 58705 and 58709 is 1.

GCF(58705,58709) = 1

We will now calculate the prime factors of 58705 and 58709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58705 and 58709.

How to find the GCF of 58705 and 58709?

We will first find the prime factorization of 58705 and 58709. After we will calculate the factors of 58705 and 58709 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 58709

Prime factors of 58709 are 7, 8387. Prime factorization of 58709 in exponential form is:

58709 = 7¹ × 8387¹

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 58709

List of positive integer factors of 58709 that divides 58705 without a remainder.

1, 7, 8387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58705 and 58709. The biggest common factor number is the GCF number.
So the greatest common factor 58705 and 58709 is 1.

Also check out the Least Common Multiple of 58705 and 58709