What is the Greatest Common Factor of 43980 and 44000?

Greatest common factor (GCF) of 43980 and 44000 is 20.

GCF(43980,44000) = 20

We will now calculate the prime factors of 43980 and 44000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43980 and 44000.

How to find the GCF of 43980 and 44000?

We will first find the prime factorization of 43980 and 44000. After we will calculate the factors of 43980 and 44000 and find the biggest common factor number .

Step-1: Prime Factorization of 43980

Prime factors of 43980 are 2, 3, 5, 733. Prime factorization of 43980 in exponential form is:

43980 = 2² × 3¹ × 5¹ × 733¹

Step-2: Prime Factorization of 44000

Prime factors of 44000 are 2, 5, 11. Prime factorization of 44000 in exponential form is:

44000 = 2⁵ × 5³ × 11¹

Step-3: Factors of 43980

List of positive integer factors of 43980 that divides 43980 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 733, 1466, 2199, 2932, 3665, 4398, 7330, 8796, 10995, 14660, 21990

Step-4: Factors of 44000

List of positive integer factors of 44000 that divides 43980 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 125, 160, 176, 200, 220, 250, 275, 352, 400, 440, 500, 550, 800, 880, 1000, 1100, 1375, 1760, 2000, 2200, 2750, 4000, 4400, 5500, 8800, 11000, 22000

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43980 and 44000. The biggest common factor number is the GCF number.
So the greatest common factor 43980 and 44000 is 20.

Also check out the Least Common Multiple of 43980 and 44000