What is the Greatest Common Factor of 33375 and 33384?

Greatest common factor (GCF) of 33375 and 33384 is 3.

GCF(33375,33384) = 3

We will now calculate the prime factors of 33375 and 33384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33375 and 33384.

How to find the GCF of 33375 and 33384?

We will first find the prime factorization of 33375 and 33384. After we will calculate the factors of 33375 and 33384 and find the biggest common factor number .

Step-1: Prime Factorization of 33375

Prime factors of 33375 are 3, 5, 89. Prime factorization of 33375 in exponential form is:

33375 = 3¹ × 5³ × 89¹

Step-2: Prime Factorization of 33384

Prime factors of 33384 are 2, 3, 13, 107. Prime factorization of 33384 in exponential form is:

33384 = 2³ × 3¹ × 13¹ × 107¹

Step-3: Factors of 33375

List of positive integer factors of 33375 that divides 33375 without a remainder.

1, 3, 5, 15, 25, 75, 89, 125, 267, 375, 445, 1335, 2225, 6675, 11125

Step-4: Factors of 33384

List of positive integer factors of 33384 that divides 33375 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 107, 156, 214, 312, 321, 428, 642, 856, 1284, 1391, 2568, 2782, 4173, 5564, 8346, 11128, 16692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33375 and 33384. The biggest common factor number is the GCF number.
So the greatest common factor 33375 and 33384 is 3.

Also check out the Least Common Multiple of 33375 and 33384