What is the Greatest Common Factor of 33036 and 33048?

Greatest common factor (GCF) of 33036 and 33048 is 12.

GCF(33036,33048) = 12

We will now calculate the prime factors of 33036 and 33048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33036 and 33048.

How to find the GCF of 33036 and 33048?

We will first find the prime factorization of 33036 and 33048. After we will calculate the factors of 33036 and 33048 and find the biggest common factor number .

Step-1: Prime Factorization of 33036

Prime factors of 33036 are 2, 3, 2753. Prime factorization of 33036 in exponential form is:

33036 = 2² × 3¹ × 2753¹

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 33036

List of positive integer factors of 33036 that divides 33036 without a remainder.

1, 2, 3, 4, 6, 12, 2753, 5506, 8259, 11012, 16518

Step-4: Factors of 33048

List of positive integer factors of 33048 that divides 33036 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 33036 and 33048. The biggest common factor number is the GCF number.
So the greatest common factor 33036 and 33048 is 12.

Also check out the Least Common Multiple of 33036 and 33048