What is the Greatest Common Factor of 58788 and 58796?

Greatest common factor (GCF) of 58788 and 58796 is 4.

GCF(58788,58796) = 4

We will now calculate the prime factors of 58788 and 58796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58788 and 58796.

How to find the GCF of 58788 and 58796?

We will first find the prime factorization of 58788 and 58796. After we will calculate the factors of 58788 and 58796 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 58796

Prime factors of 58796 are 2, 14699. Prime factorization of 58796 in exponential form is:

58796 = 2² × 14699¹

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 58796

List of positive integer factors of 58796 that divides 58788 without a remainder.

1, 2, 4, 14699, 29398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58788 and 58796. The biggest common factor number is the GCF number.
So the greatest common factor 58788 and 58796 is 4.

Also check out the Least Common Multiple of 58788 and 58796