What is the Greatest Common Factor of 33864 and 33881?

Greatest common factor (GCF) of 33864 and 33881 is 17.

GCF(33864,33881) = 17

We will now calculate the prime factors of 33864 and 33881, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33864 and 33881.

How to find the GCF of 33864 and 33881?

We will first find the prime factorization of 33864 and 33881. After we will calculate the factors of 33864 and 33881 and find the biggest common factor number .

Step-1: Prime Factorization of 33864

Prime factors of 33864 are 2, 3, 17, 83. Prime factorization of 33864 in exponential form is:

33864 = 2³ × 3¹ × 17¹ × 83¹

Step-2: Prime Factorization of 33881

Prime factors of 33881 are 17, 1993. Prime factorization of 33881 in exponential form is:

33881 = 17¹ × 1993¹

Step-3: Factors of 33864

List of positive integer factors of 33864 that divides 33864 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 83, 102, 136, 166, 204, 249, 332, 408, 498, 664, 996, 1411, 1992, 2822, 4233, 5644, 8466, 11288, 16932

Step-4: Factors of 33881

List of positive integer factors of 33881 that divides 33864 without a remainder.

1, 17, 1993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33864 and 33881. The biggest common factor number is the GCF number.
So the greatest common factor 33864 and 33881 is 17.

Also check out the Least Common Multiple of 33864 and 33881