What is the Greatest Common Factor of 58385 and 58400?

Greatest common factor (GCF) of 58385 and 58400 is 5.

GCF(58385,58400) = 5

We will now calculate the prime factors of 58385 and 58400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58385 and 58400.

How to find the GCF of 58385 and 58400?

We will first find the prime factorization of 58385 and 58400. After we will calculate the factors of 58385 and 58400 and find the biggest common factor number .

Step-1: Prime Factorization of 58385

Prime factors of 58385 are 5, 11677. Prime factorization of 58385 in exponential form is:

58385 = 5¹ × 11677¹

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 58385

List of positive integer factors of 58385 that divides 58385 without a remainder.

1, 5, 11677

Step-4: Factors of 58400

List of positive integer factors of 58400 that divides 58385 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 58385 and 58400. The biggest common factor number is the GCF number.
So the greatest common factor 58385 and 58400 is 5.

Also check out the Least Common Multiple of 58385 and 58400