What is the Greatest Common Factor of 58788 and 58806?

Greatest common factor (GCF) of 58788 and 58806 is 18.

GCF(58788,58806) = 18

We will now calculate the prime factors of 58788 and 58806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58788 and 58806.

How to find the GCF of 58788 and 58806?

We will first find the prime factorization of 58788 and 58806. After we will calculate the factors of 58788 and 58806 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 58806

Prime factors of 58806 are 2, 3, 11. Prime factorization of 58806 in exponential form is:

58806 = 2¹ × 3⁵ × 11²

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 58806

List of positive integer factors of 58806 that divides 58788 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 121, 162, 198, 242, 243, 297, 363, 486, 594, 726, 891, 1089, 1782, 2178, 2673, 3267, 5346, 6534, 9801, 19602, 29403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58788 and 58806. The biggest common factor number is the GCF number.
So the greatest common factor 58788 and 58806 is 18.

Also check out the Least Common Multiple of 58788 and 58806