What is the Greatest Common Factor of 44795 and 44800?

Greatest common factor (GCF) of 44795 and 44800 is 5.

GCF(44795,44800) = 5

We will now calculate the prime factors of 44795 and 44800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44795 and 44800.

How to find the GCF of 44795 and 44800?

We will first find the prime factorization of 44795 and 44800. After we will calculate the factors of 44795 and 44800 and find the biggest common factor number .

Step-1: Prime Factorization of 44795

Prime factors of 44795 are 5, 17, 31. Prime factorization of 44795 in exponential form is:

44795 = 5¹ × 17² × 31¹

Step-2: 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-3: Factors of 44795

List of positive integer factors of 44795 that divides 44795 without a remainder.

1, 5, 17, 31, 85, 155, 289, 527, 1445, 2635, 8959

Step-4: Factors of 44800

List of positive integer factors of 44800 that divides 44795 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44795 and 44800. The biggest common factor number is the GCF number.
So the greatest common factor 44795 and 44800 is 5.

Also check out the Least Common Multiple of 44795 and 44800