What is the Greatest Common Factor of 58788 and 58794?

Greatest common factor (GCF) of 58788 and 58794 is 6.

GCF(58788,58794) = 6

We will now calculate the prime factors of 58788 and 58794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58788 and 58794.

How to find the GCF of 58788 and 58794?

We will first find the prime factorization of 58788 and 58794. After we will calculate the factors of 58788 and 58794 and find the biggest common factor number .

Step-1: Prime Factorization of 58788

Prime factors of 58788 are 2, 3, 23, 71. Prime factorization of 58788 in exponential form is:

58788 = 2² × 3² × 23¹ × 71¹

Step-2: 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-3: Factors of 58788

List of positive integer factors of 58788 that divides 58788 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 71, 92, 138, 142, 207, 213, 276, 284, 414, 426, 639, 828, 852, 1278, 1633, 2556, 3266, 4899, 6532, 9798, 14697, 19596, 29394

Step-4: Factors of 58794

List of positive integer factors of 58794 that divides 58788 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58788 and 58794. The biggest common factor number is the GCF number.
So the greatest common factor 58788 and 58794 is 6.

Also check out the Least Common Multiple of 58788 and 58794