What is the Greatest Common Factor of 44033 and 44044?

Greatest common factor (GCF) of 44033 and 44044 is 11.

GCF(44033,44044) = 11

We will now calculate the prime factors of 44033 and 44044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44033 and 44044.

How to find the GCF of 44033 and 44044?

We will first find the prime factorization of 44033 and 44044. After we will calculate the factors of 44033 and 44044 and find the biggest common factor number .

Step-1: Prime Factorization of 44033

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

44033 = 11¹ × 4003¹

Step-2: Prime Factorization of 44044

Prime factors of 44044 are 2, 7, 11, 13. Prime factorization of 44044 in exponential form is:

44044 = 2² × 7¹ × 11² × 13¹

Step-3: Factors of 44033

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

1, 11, 4003

Step-4: Factors of 44044

List of positive integer factors of 44044 that divides 44033 without a remainder.

1, 2, 4, 7, 11, 13, 14, 22, 26, 28, 44, 52, 77, 91, 121, 143, 154, 182, 242, 286, 308, 364, 484, 572, 847, 1001, 1573, 1694, 2002, 3146, 3388, 4004, 6292, 11011, 22022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44033 and 44044. The biggest common factor number is the GCF number.
So the greatest common factor 44033 and 44044 is 11.

Also check out the Least Common Multiple of 44033 and 44044