What is the Greatest Common Factor of 56380 and 56400?

Greatest common factor (GCF) of 56380 and 56400 is 20.

GCF(56380,56400) = 20

We will now calculate the prime factors of 56380 and 56400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56380 and 56400.

How to find the GCF of 56380 and 56400?

We will first find the prime factorization of 56380 and 56400. After we will calculate the factors of 56380 and 56400 and find the biggest common factor number .

Step-1: Prime Factorization of 56380

Prime factors of 56380 are 2, 5, 2819. Prime factorization of 56380 in exponential form is:

56380 = 2² × 5¹ × 2819¹

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 56380

List of positive integer factors of 56380 that divides 56380 without a remainder.

1, 2, 4, 5, 10, 20, 2819, 5638, 11276, 14095, 28190

Step-4: Factors of 56400

List of positive integer factors of 56400 that divides 56380 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 56380 and 56400. The biggest common factor number is the GCF number.
So the greatest common factor 56380 and 56400 is 20.

Also check out the Least Common Multiple of 56380 and 56400