What is the Greatest Common Factor of 33044 and 33048?

Greatest common factor (GCF) of 33044 and 33048 is 4.

GCF(33044,33048) = 4

We will now calculate the prime factors of 33044 and 33048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33044 and 33048.

How to find the GCF of 33044 and 33048?

We will first find the prime factorization of 33044 and 33048. After we will calculate the factors of 33044 and 33048 and find the biggest common factor number .

Step-1: Prime Factorization of 33044

Prime factors of 33044 are 2, 11, 751. Prime factorization of 33044 in exponential form is:

33044 = 2² × 11¹ × 751¹

Step-2: Prime Factorization of 33048

Prime factors of 33048 are 2, 3, 17. Prime factorization of 33048 in exponential form is:

33048 = 2³ × 3⁵ × 17¹

Step-3: Factors of 33044

List of positive integer factors of 33044 that divides 33044 without a remainder.

1, 2, 4, 11, 22, 44, 751, 1502, 3004, 8261, 16522

Step-4: Factors of 33048

List of positive integer factors of 33048 that divides 33044 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 243, 306, 324, 408, 459, 486, 612, 648, 918, 972, 1224, 1377, 1836, 1944, 2754, 3672, 4131, 5508, 8262, 11016, 16524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33044 and 33048. The biggest common factor number is the GCF number.
So the greatest common factor 33044 and 33048 is 4.

Also check out the Least Common Multiple of 33044 and 33048