What is the Greatest Common Factor of 58893 and 58908?

Greatest common factor (GCF) of 58893 and 58908 is 3.

GCF(58893,58908) = 3

We will now calculate the prime factors of 58893 and 58908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58893 and 58908.

How to find the GCF of 58893 and 58908?

We will first find the prime factorization of 58893 and 58908. After we will calculate the factors of 58893 and 58908 and find the biggest common factor number .

Step-1: Prime Factorization of 58893

Prime factors of 58893 are 3, 67, 293. Prime factorization of 58893 in exponential form is:

58893 = 3¹ × 67¹ × 293¹

Step-2: Prime Factorization of 58908

Prime factors of 58908 are 2, 3, 4909. Prime factorization of 58908 in exponential form is:

58908 = 2² × 3¹ × 4909¹

Step-3: Factors of 58893

List of positive integer factors of 58893 that divides 58893 without a remainder.

1, 3, 67, 201, 293, 879, 19631

Step-4: Factors of 58908

List of positive integer factors of 58908 that divides 58893 without a remainder.

1, 2, 3, 4, 6, 12, 4909, 9818, 14727, 19636, 29454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58893 and 58908. The biggest common factor number is the GCF number.
So the greatest common factor 58893 and 58908 is 3.

Also check out the Least Common Multiple of 58893 and 58908