What is the Greatest Common Factor of 44790 and 44800?

Greatest common factor (GCF) of 44790 and 44800 is 10.

GCF(44790,44800) = 10

We will now calculate the prime factors of 44790 and 44800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44790 and 44800.

How to find the GCF of 44790 and 44800?

We will first find the prime factorization of 44790 and 44800. After we will calculate the factors of 44790 and 44800 and find the biggest common factor number .

Step-1: Prime Factorization of 44790

Prime factors of 44790 are 2, 3, 5, 1493. Prime factorization of 44790 in exponential form is:

44790 = 2¹ × 3¹ × 5¹ × 1493¹

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 44790

List of positive integer factors of 44790 that divides 44790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1493, 2986, 4479, 7465, 8958, 14930, 22395

Step-4: Factors of 44800

List of positive integer factors of 44800 that divides 44790 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 44790 and 44800. The biggest common factor number is the GCF number.
So the greatest common factor 44790 and 44800 is 10.

Also check out the Least Common Multiple of 44790 and 44800