What is the Greatest Common Factor of 58400 and 58416?

Greatest common factor (GCF) of 58400 and 58416 is 16.

GCF(58400,58416) = 16

We will now calculate the prime factors of 58400 and 58416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58400 and 58416.

How to find the GCF of 58400 and 58416?

We will first find the prime factorization of 58400 and 58416. After we will calculate the factors of 58400 and 58416 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58416

Prime factors of 58416 are 2, 3, 1217. Prime factorization of 58416 in exponential form is:

58416 = 2⁴ × 3¹ × 1217¹

Step-3: Factors of 58400

List of positive integer factors of 58400 that divides 58400 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

Step-4: Factors of 58416

List of positive integer factors of 58416 that divides 58400 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1217, 2434, 3651, 4868, 7302, 9736, 14604, 19472, 29208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58400 and 58416. The biggest common factor number is the GCF number.
So the greatest common factor 58400 and 58416 is 16.

Also check out the Least Common Multiple of 58400 and 58416