What is the Greatest Common Factor of 56389 and 56400?

Greatest common factor (GCF) of 56389 and 56400 is 1.

GCF(56389,56400) = 1

We will now calculate the prime factors of 56389 and 56400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56389 and 56400.

How to find the GCF of 56389 and 56400?

We will first find the prime factorization of 56389 and 56400. After we will calculate the factors of 56389 and 56400 and find the biggest common factor number .

Step-1: Prime Factorization of 56389

Prime factors of 56389 are 17, 31, 107. Prime factorization of 56389 in exponential form is:

56389 = 17¹ × 31¹ × 107¹

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 56389

List of positive integer factors of 56389 that divides 56389 without a remainder.

1, 17, 31, 107, 527, 1819, 3317

Step-4: Factors of 56400

List of positive integer factors of 56400 that divides 56389 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 56389 and 56400. The biggest common factor number is the GCF number.
So the greatest common factor 56389 and 56400 is 1.

Also check out the Least Common Multiple of 56389 and 56400