What is the Greatest Common Factor of 58384 and 58392?

Greatest common factor (GCF) of 58384 and 58392 is 8.

GCF(58384,58392) = 8

We will now calculate the prime factors of 58384 and 58392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58384 and 58392.

How to find the GCF of 58384 and 58392?

We will first find the prime factorization of 58384 and 58392. After we will calculate the factors of 58384 and 58392 and find the biggest common factor number .

Step-1: Prime Factorization of 58384

Prime factors of 58384 are 2, 41, 89. Prime factorization of 58384 in exponential form is:

58384 = 2⁴ × 41¹ × 89¹

Step-2: Prime Factorization of 58392

Prime factors of 58392 are 2, 3, 811. Prime factorization of 58392 in exponential form is:

58392 = 2³ × 3² × 811¹

Step-3: Factors of 58384

List of positive integer factors of 58384 that divides 58384 without a remainder.

1, 2, 4, 8, 16, 41, 82, 89, 164, 178, 328, 356, 656, 712, 1424, 3649, 7298, 14596, 29192

Step-4: Factors of 58392

List of positive integer factors of 58392 that divides 58384 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 811, 1622, 2433, 3244, 4866, 6488, 7299, 9732, 14598, 19464, 29196

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58384 and 58392. The biggest common factor number is the GCF number.
So the greatest common factor 58384 and 58392 is 8.

Also check out the Least Common Multiple of 58384 and 58392