What is the Greatest Common Factor of 44000 and 44018?

Greatest common factor (GCF) of 44000 and 44018 is 2.

GCF(44000,44018) = 2

We will now calculate the prime factors of 44000 and 44018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44000 and 44018.

How to find the GCF of 44000 and 44018?

We will first find the prime factorization of 44000 and 44018. After we will calculate the factors of 44000 and 44018 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 44018

Prime factors of 44018 are 2, 13, 1693. Prime factorization of 44018 in exponential form is:

44018 = 2¹ × 13¹ × 1693¹

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 44018

List of positive integer factors of 44018 that divides 44000 without a remainder.

1, 2, 13, 26, 1693, 3386, 22009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44000 and 44018. The biggest common factor number is the GCF number.
So the greatest common factor 44000 and 44018 is 2.

Also check out the Least Common Multiple of 44000 and 44018