What is the Greatest Common Factor of 44011 and 44022?

Greatest common factor (GCF) of 44011 and 44022 is 11.

GCF(44011,44022) = 11

We will now calculate the prime factors of 44011 and 44022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44011 and 44022.

How to find the GCF of 44011 and 44022?

We will first find the prime factorization of 44011 and 44022. After we will calculate the factors of 44011 and 44022 and find the biggest common factor number .

Step-1: Prime Factorization of 44011

Prime factors of 44011 are 11, 4001. Prime factorization of 44011 in exponential form is:

44011 = 11¹ × 4001¹

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 44011

List of positive integer factors of 44011 that divides 44011 without a remainder.

1, 11, 4001

Step-4: Factors of 44022

List of positive integer factors of 44022 that divides 44011 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 44011 and 44022. The biggest common factor number is the GCF number.
So the greatest common factor 44011 and 44022 is 11.

Also check out the Least Common Multiple of 44011 and 44022