What is the Greatest Common Factor of 58767 and 58779?

Greatest common factor (GCF) of 58767 and 58779 is 3.

GCF(58767,58779) = 3

We will now calculate the prime factors of 58767 and 58779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58767 and 58779.

How to find the GCF of 58767 and 58779?

We will first find the prime factorization of 58767 and 58779. After we will calculate the factors of 58767 and 58779 and find the biggest common factor number .

Step-1: Prime Factorization of 58767

Prime factors of 58767 are 3, 19, 1031. Prime factorization of 58767 in exponential form is:

58767 = 3¹ × 19¹ × 1031¹

Step-2: Prime Factorization of 58779

Prime factors of 58779 are 3, 7, 311. Prime factorization of 58779 in exponential form is:

58779 = 3³ × 7¹ × 311¹

Step-3: Factors of 58767

List of positive integer factors of 58767 that divides 58767 without a remainder.

1, 3, 19, 57, 1031, 3093, 19589

Step-4: Factors of 58779

List of positive integer factors of 58779 that divides 58767 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189, 311, 933, 2177, 2799, 6531, 8397, 19593

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58767 and 58779. The biggest common factor number is the GCF number.
So the greatest common factor 58767 and 58779 is 3.

Also check out the Least Common Multiple of 58767 and 58779