What is the Greatest Common Factor of 56400 and 56414?

Greatest common factor (GCF) of 56400 and 56414 is 2.

GCF(56400,56414) = 2

We will now calculate the prime factors of 56400 and 56414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56400 and 56414.

How to find the GCF of 56400 and 56414?

We will first find the prime factorization of 56400 and 56414. After we will calculate the factors of 56400 and 56414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 56414

Prime factors of 56414 are 2, 67, 421. Prime factorization of 56414 in exponential form is:

56414 = 2¹ × 67¹ × 421¹

Step-3: Factors of 56400

List of positive integer factors of 56400 that divides 56400 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

Step-4: Factors of 56414

List of positive integer factors of 56414 that divides 56400 without a remainder.

1, 2, 67, 134, 421, 842, 28207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56400 and 56414. The biggest common factor number is the GCF number.
So the greatest common factor 56400 and 56414 is 2.

Also check out the Least Common Multiple of 56400 and 56414