What is the Greatest Common Factor of 44000 and 44005?

Greatest common factor (GCF) of 44000 and 44005 is 5.

GCF(44000,44005) = 5

We will now calculate the prime factors of 44000 and 44005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44000 and 44005.

How to find the GCF of 44000 and 44005?

We will first find the prime factorization of 44000 and 44005. After we will calculate the factors of 44000 and 44005 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 44005

Prime factors of 44005 are 5, 13, 677. Prime factorization of 44005 in exponential form is:

44005 = 5¹ × 13¹ × 677¹

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 44005

List of positive integer factors of 44005 that divides 44000 without a remainder.

1, 5, 13, 65, 677, 3385, 8801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44000 and 44005. The biggest common factor number is the GCF number.
So the greatest common factor 44000 and 44005 is 5.

Also check out the Least Common Multiple of 44000 and 44005