What is the Greatest Common Factor of 44008 and 44022?

Greatest common factor (GCF) of 44008 and 44022 is 2.

GCF(44008,44022) = 2

We will now calculate the prime factors of 44008 and 44022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44008 and 44022.

How to find the GCF of 44008 and 44022?

We will first find the prime factorization of 44008 and 44022. After we will calculate the factors of 44008 and 44022 and find the biggest common factor number .

Step-1: Prime Factorization of 44008

Prime factors of 44008 are 2, 5501. Prime factorization of 44008 in exponential form is:

44008 = 2³ × 5501¹

Step-2: Prime Factorization of 44022

Prime factors of 44022 are 2, 3, 11, 23, 29. Prime factorization of 44022 in exponential form is:

44022 = 2¹ × 3¹ × 11¹ × 23¹ × 29¹

Step-3: Factors of 44008

List of positive integer factors of 44008 that divides 44008 without a remainder.

1, 2, 4, 8, 5501, 11002, 22004

Step-4: Factors of 44022

List of positive integer factors of 44022 that divides 44008 without a remainder.

1, 2, 3, 6, 11, 22, 23, 29, 33, 46, 58, 66, 69, 87, 138, 174, 253, 319, 506, 638, 667, 759, 957, 1334, 1518, 1914, 2001, 4002, 7337, 14674, 22011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44008 and 44022. The biggest common factor number is the GCF number.
So the greatest common factor 44008 and 44022 is 2.

Also check out the Least Common Multiple of 44008 and 44022