What is the Greatest Common Factor of 44800 and 44820?

Greatest common factor (GCF) of 44800 and 44820 is 20.

GCF(44800,44820) = 20

We will now calculate the prime factors of 44800 and 44820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44800 and 44820.

How to find the GCF of 44800 and 44820?

We will first find the prime factorization of 44800 and 44820. After we will calculate the factors of 44800 and 44820 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 44820

Prime factors of 44820 are 2, 3, 5, 83. Prime factorization of 44820 in exponential form is:

44820 = 2² × 3³ × 5¹ × 83¹

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 44820

List of positive integer factors of 44820 that divides 44800 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 83, 90, 108, 135, 166, 180, 249, 270, 332, 415, 498, 540, 747, 830, 996, 1245, 1494, 1660, 2241, 2490, 2988, 3735, 4482, 4980, 7470, 8964, 11205, 14940, 22410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44800 and 44820. The biggest common factor number is the GCF number.
So the greatest common factor 44800 and 44820 is 20.

Also check out the Least Common Multiple of 44800 and 44820