What is the Greatest Common Factor of 58390 and 58400?

Greatest common factor (GCF) of 58390 and 58400 is 10.

GCF(58390,58400) = 10

We will now calculate the prime factors of 58390 and 58400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58390 and 58400.

How to find the GCF of 58390 and 58400?

We will first find the prime factorization of 58390 and 58400. After we will calculate the factors of 58390 and 58400 and find the biggest common factor number .

Step-1: Prime Factorization of 58390

Prime factors of 58390 are 2, 5, 5839. Prime factorization of 58390 in exponential form is:

58390 = 2¹ × 5¹ × 5839¹

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 58390

List of positive integer factors of 58390 that divides 58390 without a remainder.

1, 2, 5, 10, 5839, 11678, 29195

Step-4: Factors of 58400

List of positive integer factors of 58400 that divides 58390 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 58390 and 58400. The biggest common factor number is the GCF number.
So the greatest common factor 58390 and 58400 is 10.

Also check out the Least Common Multiple of 58390 and 58400