What is the Greatest Common Factor of 58794 and 58810?

Greatest common factor (GCF) of 58794 and 58810 is 2.

GCF(58794,58810) = 2

We will now calculate the prime factors of 58794 and 58810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58794 and 58810.

How to find the GCF of 58794 and 58810?

We will first find the prime factorization of 58794 and 58810. After we will calculate the factors of 58794 and 58810 and find the biggest common factor number .

Step-1: Prime Factorization of 58794

Prime factors of 58794 are 2, 3, 41, 239. Prime factorization of 58794 in exponential form is:

58794 = 2¹ × 3¹ × 41¹ × 239¹

Step-2: Prime Factorization of 58810

Prime factors of 58810 are 2, 5, 5881. Prime factorization of 58810 in exponential form is:

58810 = 2¹ × 5¹ × 5881¹

Step-3: Factors of 58794

List of positive integer factors of 58794 that divides 58794 without a remainder.

1, 2, 3, 6, 41, 82, 123, 239, 246, 478, 717, 1434, 9799, 19598, 29397

Step-4: Factors of 58810

List of positive integer factors of 58810 that divides 58794 without a remainder.

1, 2, 5, 10, 5881, 11762, 29405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58794 and 58810. The biggest common factor number is the GCF number.
So the greatest common factor 58794 and 58810 is 2.

Also check out the Least Common Multiple of 58794 and 58810