What is the Greatest Common Factor of 40800 and 40816?

Greatest common factor (GCF) of 40800 and 40816 is 16.

GCF(40800,40816) = 16

We will now calculate the prime factors of 40800 and 40816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40800 and 40816.

How to find the GCF of 40800 and 40816?

We will first find the prime factorization of 40800 and 40816. After we will calculate the factors of 40800 and 40816 and find the biggest common factor number .

Step-1: Prime Factorization of 40800

Prime factors of 40800 are 2, 3, 5, 17. Prime factorization of 40800 in exponential form is:

40800 = 2⁵ × 3¹ × 5² × 17¹

Step-2: Prime Factorization of 40816

Prime factors of 40816 are 2, 2551. Prime factorization of 40816 in exponential form is:

40816 = 2⁴ × 2551¹

Step-3: Factors of 40800

List of positive integer factors of 40800 that divides 40800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 32, 34, 40, 48, 50, 51, 60, 68, 75, 80, 85, 96, 100, 102, 120, 136, 150, 160, 170, 200, 204, 240, 255, 272, 300, 340, 400, 408, 425, 480, 510, 544, 600, 680, 800, 816, 850, 1020, 1200, 1275, 1360, 1632, 1700, 2040, 2400, 2550, 2720, 3400, 4080, 5100, 6800, 8160, 10200, 13600, 20400

Step-4: Factors of 40816

List of positive integer factors of 40816 that divides 40800 without a remainder.

1, 2, 4, 8, 16, 2551, 5102, 10204, 20408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40800 and 40816. The biggest common factor number is the GCF number.
So the greatest common factor 40800 and 40816 is 16.

Also check out the Least Common Multiple of 40800 and 40816