What is the Greatest Common Factor of 58104 and 58119?

Greatest common factor (GCF) of 58104 and 58119 is 3.

GCF(58104,58119) = 3

We will now calculate the prime factors of 58104 and 58119, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58104 and 58119.

How to find the GCF of 58104 and 58119?

We will first find the prime factorization of 58104 and 58119. After we will calculate the factors of 58104 and 58119 and find the biggest common factor number .

Step-1: Prime Factorization of 58104

Prime factors of 58104 are 2, 3, 269. Prime factorization of 58104 in exponential form is:

58104 = 2³ × 3³ × 269¹

Step-2: Prime Factorization of 58119

Prime factors of 58119 are 3, 19373. Prime factorization of 58119 in exponential form is:

58119 = 3¹ × 19373¹

Step-3: Factors of 58104

List of positive integer factors of 58104 that divides 58104 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 7263, 9684, 14526, 19368, 29052

Step-4: Factors of 58119

List of positive integer factors of 58119 that divides 58104 without a remainder.

1, 3, 19373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58104 and 58119. The biggest common factor number is the GCF number.
So the greatest common factor 58104 and 58119 is 3.

Also check out the Least Common Multiple of 58104 and 58119