What is the Greatest Common Factor of 58668 and 58686?

Greatest common factor (GCF) of 58668 and 58686 is 6.

GCF(58668,58686) = 6

We will now calculate the prime factors of 58668 and 58686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58668 and 58686.

How to find the GCF of 58668 and 58686?

We will first find the prime factorization of 58668 and 58686. After we will calculate the factors of 58668 and 58686 and find the biggest common factor number .

Step-1: Prime Factorization of 58668

Prime factors of 58668 are 2, 3, 4889. Prime factorization of 58668 in exponential form is:

58668 = 2² × 3¹ × 4889¹

Step-2: 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-3: Factors of 58668

List of positive integer factors of 58668 that divides 58668 without a remainder.

1, 2, 3, 4, 6, 12, 4889, 9778, 14667, 19556, 29334

Step-4: Factors of 58686

List of positive integer factors of 58686 that divides 58668 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58668 and 58686. The biggest common factor number is the GCF number.
So the greatest common factor 58668 and 58686 is 6.

Also check out the Least Common Multiple of 58668 and 58686