What is the Greatest Common Factor of 66033 and 66044?

Greatest common factor (GCF) of 66033 and 66044 is 11.

GCF(66033,66044) = 11

We will now calculate the prime factors of 66033 and 66044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66033 and 66044.

How to find the GCF of 66033 and 66044?

We will first find the prime factorization of 66033 and 66044. After we will calculate the factors of 66033 and 66044 and find the biggest common factor number .

Step-1: Prime Factorization of 66033

Prime factors of 66033 are 3, 11, 23, 29. Prime factorization of 66033 in exponential form is:

66033 = 3² × 11¹ × 23¹ × 29¹

Step-2: Prime Factorization of 66044

Prime factors of 66044 are 2, 11, 19, 79. Prime factorization of 66044 in exponential form is:

66044 = 2² × 11¹ × 19¹ × 79¹

Step-3: Factors of 66033

List of positive integer factors of 66033 that divides 66033 without a remainder.

1, 3, 9, 11, 23, 29, 33, 69, 87, 99, 207, 253, 261, 319, 667, 759, 957, 2001, 2277, 2871, 6003, 7337, 22011

Step-4: Factors of 66044

List of positive integer factors of 66044 that divides 66033 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 79, 158, 209, 316, 418, 836, 869, 1501, 1738, 3002, 3476, 6004, 16511, 33022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66033 and 66044. The biggest common factor number is the GCF number.
So the greatest common factor 66033 and 66044 is 11.

Also check out the Least Common Multiple of 66033 and 66044