What is the Greatest Common Factor of 56390 and 56400?

Greatest common factor (GCF) of 56390 and 56400 is 10.

GCF(56390,56400) = 10

We will now calculate the prime factors of 56390 and 56400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56390 and 56400.

How to find the GCF of 56390 and 56400?

We will first find the prime factorization of 56390 and 56400. After we will calculate the factors of 56390 and 56400 and find the biggest common factor number .

Step-1: Prime Factorization of 56390

Prime factors of 56390 are 2, 5, 5639. Prime factorization of 56390 in exponential form is:

56390 = 2¹ × 5¹ × 5639¹

Step-2: Prime Factorization of 56400

Prime factors of 56400 are 2, 3, 5, 47. Prime factorization of 56400 in exponential form is:

56400 = 2⁴ × 3¹ × 5² × 47¹

Step-3: Factors of 56390

List of positive integer factors of 56390 that divides 56390 without a remainder.

1, 2, 5, 10, 5639, 11278, 28195

Step-4: Factors of 56400

List of positive integer factors of 56400 that divides 56390 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 47, 48, 50, 60, 75, 80, 94, 100, 120, 141, 150, 188, 200, 235, 240, 282, 300, 376, 400, 470, 564, 600, 705, 752, 940, 1128, 1175, 1200, 1410, 1880, 2256, 2350, 2820, 3525, 3760, 4700, 5640, 7050, 9400, 11280, 14100, 18800, 28200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56390 and 56400. The biggest common factor number is the GCF number.
So the greatest common factor 56390 and 56400 is 10.

Also check out the Least Common Multiple of 56390 and 56400