What is the Greatest Common Factor of 66033 and 66048?

Greatest common factor (GCF) of 66033 and 66048 is 3.

GCF(66033,66048) = 3

We will now calculate the prime factors of 66033 and 66048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66033 and 66048.

How to find the GCF of 66033 and 66048?

We will first find the prime factorization of 66033 and 66048. After we will calculate the factors of 66033 and 66048 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 66048

Prime factors of 66048 are 2, 3, 43. Prime factorization of 66048 in exponential form is:

66048 = 2⁹ × 3¹ × 43¹

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 66048

List of positive integer factors of 66048 that divides 66033 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 128, 129, 172, 192, 256, 258, 344, 384, 512, 516, 688, 768, 1032, 1376, 1536, 2064, 2752, 4128, 5504, 8256, 11008, 16512, 22016, 33024

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66033 and 66048. The biggest common factor number is the GCF number.
So the greatest common factor 66033 and 66048 is 3.

Also check out the Least Common Multiple of 66033 and 66048