What is the Greatest Common Factor of 44000 and 44010?

Greatest common factor (GCF) of 44000 and 44010 is 10.

GCF(44000,44010) = 10

We will now calculate the prime factors of 44000 and 44010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44000 and 44010.

How to find the GCF of 44000 and 44010?

We will first find the prime factorization of 44000 and 44010. After we will calculate the factors of 44000 and 44010 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 44010

Prime factors of 44010 are 2, 3, 5, 163. Prime factorization of 44010 in exponential form is:

44010 = 2¹ × 3³ × 5¹ × 163¹

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 44010

List of positive integer factors of 44010 that divides 44000 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 163, 270, 326, 489, 815, 978, 1467, 1630, 2445, 2934, 4401, 4890, 7335, 8802, 14670, 22005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44000 and 44010. The biggest common factor number is the GCF number.
So the greatest common factor 44000 and 44010 is 10.

Also check out the Least Common Multiple of 44000 and 44010