What is the Greatest Common Factor of 58686 and 58699?

Greatest common factor (GCF) of 58686 and 58699 is 1.

GCF(58686,58699) = 1

We will now calculate the prime factors of 58686 and 58699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58686 and 58699.

How to find the GCF of 58686 and 58699?

We will first find the prime factorization of 58686 and 58699. After we will calculate the factors of 58686 and 58699 and find the biggest common factor number .

Step-1: Prime Factorization of 58686

Prime factors of 58686 are 2, 3, 9781. Prime factorization of 58686 in exponential form is:

58686 = 2¹ × 3¹ × 9781¹

Step-2: Prime Factorization of 58699

Prime factors of 58699 are 58699. Prime factorization of 58699 in exponential form is:

58699 = 58699¹

Step-3: Factors of 58686

List of positive integer factors of 58686 that divides 58686 without a remainder.

1, 2, 3, 6, 9781, 19562, 29343

Step-4: Factors of 58699

List of positive integer factors of 58699 that divides 58686 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58686 and 58699. The biggest common factor number is the GCF number.
So the greatest common factor 58686 and 58699 is 1.

Also check out the Least Common Multiple of 58686 and 58699