What is the Greatest Common Factor of 33072 and 33078?

Greatest common factor (GCF) of 33072 and 33078 is 6.

GCF(33072,33078) = 6

We will now calculate the prime factors of 33072 and 33078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33072 and 33078.

How to find the GCF of 33072 and 33078?

We will first find the prime factorization of 33072 and 33078. After we will calculate the factors of 33072 and 33078 and find the biggest common factor number .

Step-1: Prime Factorization of 33072

Prime factors of 33072 are 2, 3, 13, 53. Prime factorization of 33072 in exponential form is:

33072 = 2⁴ × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 33078

Prime factors of 33078 are 2, 3, 37, 149. Prime factorization of 33078 in exponential form is:

33078 = 2¹ × 3¹ × 37¹ × 149¹

Step-3: Factors of 33072

List of positive integer factors of 33072 that divides 33072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 53, 78, 104, 106, 156, 159, 208, 212, 312, 318, 424, 624, 636, 689, 848, 1272, 1378, 2067, 2544, 2756, 4134, 5512, 8268, 11024, 16536

Step-4: Factors of 33078

List of positive integer factors of 33078 that divides 33072 without a remainder.

1, 2, 3, 6, 37, 74, 111, 149, 222, 298, 447, 894, 5513, 11026, 16539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33072 and 33078. The biggest common factor number is the GCF number.
So the greatest common factor 33072 and 33078 is 6.

Also check out the Least Common Multiple of 33072 and 33078