What is the Greatest Common Factor of 58659 and 58666?

Greatest common factor (GCF) of 58659 and 58666 is 1.

GCF(58659,58666) = 1

We will now calculate the prime factors of 58659 and 58666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58659 and 58666.

How to find the GCF of 58659 and 58666?

We will first find the prime factorization of 58659 and 58666. After we will calculate the factors of 58659 and 58666 and find the biggest common factor number .

Step-1: Prime Factorization of 58659

Prime factors of 58659 are 3, 19553. Prime factorization of 58659 in exponential form is:

58659 = 3¹ × 19553¹

Step-2: Prime Factorization of 58666

Prime factors of 58666 are 2, 29333. Prime factorization of 58666 in exponential form is:

58666 = 2¹ × 29333¹

Step-3: Factors of 58659

List of positive integer factors of 58659 that divides 58659 without a remainder.

1, 3, 19553

Step-4: Factors of 58666

List of positive integer factors of 58666 that divides 58659 without a remainder.

1, 2, 29333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58659 and 58666. The biggest common factor number is the GCF number.
So the greatest common factor 58659 and 58666 is 1.

Also check out the Least Common Multiple of 58659 and 58666