What is the Greatest Common Factor of 44800 and 44816?

Greatest common factor (GCF) of 44800 and 44816 is 16.

GCF(44800,44816) = 16

We will now calculate the prime factors of 44800 and 44816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44800 and 44816.

How to find the GCF of 44800 and 44816?

We will first find the prime factorization of 44800 and 44816. After we will calculate the factors of 44800 and 44816 and find the biggest common factor number .

Step-1: Prime Factorization of 44800

Prime factors of 44800 are 2, 5, 7. Prime factorization of 44800 in exponential form is:

44800 = 2⁸ × 5² × 7¹

Step-2: Prime Factorization of 44816

Prime factors of 44816 are 2, 2801. Prime factorization of 44816 in exponential form is:

44816 = 2⁴ × 2801¹

Step-3: Factors of 44800

List of positive integer factors of 44800 that divides 44800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 128, 140, 160, 175, 200, 224, 256, 280, 320, 350, 400, 448, 560, 640, 700, 800, 896, 1120, 1280, 1400, 1600, 1792, 2240, 2800, 3200, 4480, 5600, 6400, 8960, 11200, 22400

Step-4: Factors of 44816

List of positive integer factors of 44816 that divides 44800 without a remainder.

1, 2, 4, 8, 16, 2801, 5602, 11204, 22408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44800 and 44816. The biggest common factor number is the GCF number.
So the greatest common factor 44800 and 44816 is 16.

Also check out the Least Common Multiple of 44800 and 44816