What is the Greatest Common Factor of 44780 and 44800?

Greatest common factor (GCF) of 44780 and 44800 is 20.

GCF(44780,44800) = 20

We will now calculate the prime factors of 44780 and 44800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44780 and 44800.

How to find the GCF of 44780 and 44800?

We will first find the prime factorization of 44780 and 44800. After we will calculate the factors of 44780 and 44800 and find the biggest common factor number .

Step-1: Prime Factorization of 44780

Prime factors of 44780 are 2, 5, 2239. Prime factorization of 44780 in exponential form is:

44780 = 2² × 5¹ × 2239¹

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 44780

List of positive integer factors of 44780 that divides 44780 without a remainder.

1, 2, 4, 5, 10, 20, 2239, 4478, 8956, 11195, 22390

Step-4: Factors of 44800

List of positive integer factors of 44800 that divides 44780 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 44780 and 44800. The biggest common factor number is the GCF number.
So the greatest common factor 44780 and 44800 is 20.

Also check out the Least Common Multiple of 44780 and 44800