What is the Greatest Common Factor of 44022 and 44033?

Greatest common factor (GCF) of 44022 and 44033 is 11.

GCF(44022,44033) = 11

We will now calculate the prime factors of 44022 and 44033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44022 and 44033.

How to find the GCF of 44022 and 44033?

We will first find the prime factorization of 44022 and 44033. After we will calculate the factors of 44022 and 44033 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44033

Prime factors of 44033 are 11, 4003. Prime factorization of 44033 in exponential form is:

44033 = 11¹ × 4003¹

Step-3: Factors of 44022

List of positive integer factors of 44022 that divides 44022 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

Step-4: Factors of 44033

List of positive integer factors of 44033 that divides 44022 without a remainder.

1, 11, 4003

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44022 and 44033. The biggest common factor number is the GCF number.
So the greatest common factor 44022 and 44033 is 11.

Also check out the Least Common Multiple of 44022 and 44033