What is the Greatest Common Factor of 58384 and 58400?

Greatest common factor (GCF) of 58384 and 58400 is 16.

GCF(58384,58400) = 16

We will now calculate the prime factors of 58384 and 58400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58384 and 58400.

How to find the GCF of 58384 and 58400?

We will first find the prime factorization of 58384 and 58400. After we will calculate the factors of 58384 and 58400 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 58400

Prime factors of 58400 are 2, 5, 73. Prime factorization of 58400 in exponential form is:

58400 = 2⁵ × 5² × 73¹

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 58400

List of positive integer factors of 58400 that divides 58384 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 73, 80, 100, 146, 160, 200, 292, 365, 400, 584, 730, 800, 1168, 1460, 1825, 2336, 2920, 3650, 5840, 7300, 11680, 14600, 29200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58384 and 58400. The biggest common factor number is the GCF number.
So the greatest common factor 58384 and 58400 is 16.

Also check out the Least Common Multiple of 58384 and 58400