What is the Greatest Common Factor of 44000 and 44006?

Greatest common factor (GCF) of 44000 and 44006 is 2.

GCF(44000,44006) = 2

We will now calculate the prime factors of 44000 and 44006, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44000 and 44006.

How to find the GCF of 44000 and 44006?

We will first find the prime factorization of 44000 and 44006. After we will calculate the factors of 44000 and 44006 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44006

Prime factors of 44006 are 2, 22003. Prime factorization of 44006 in exponential form is:

44006 = 2¹ × 22003¹

Step-3: Factors of 44000

List of positive integer factors of 44000 that divides 44000 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

Step-4: Factors of 44006

List of positive integer factors of 44006 that divides 44000 without a remainder.

1, 2, 22003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44000 and 44006. The biggest common factor number is the GCF number.
So the greatest common factor 44000 and 44006 is 2.

Also check out the Least Common Multiple of 44000 and 44006