What is the Greatest Common Factor of 33891 and 33904?

Greatest common factor (GCF) of 33891 and 33904 is 13.

GCF(33891,33904) = 13

We will now calculate the prime factors of 33891 and 33904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33891 and 33904.

How to find the GCF of 33891 and 33904?

We will first find the prime factorization of 33891 and 33904. After we will calculate the factors of 33891 and 33904 and find the biggest common factor number .

Step-1: Prime Factorization of 33891

Prime factors of 33891 are 3, 11, 13, 79. Prime factorization of 33891 in exponential form is:

33891 = 3¹ × 11¹ × 13¹ × 79¹

Step-2: Prime Factorization of 33904

Prime factors of 33904 are 2, 13, 163. Prime factorization of 33904 in exponential form is:

33904 = 2⁴ × 13¹ × 163¹

Step-3: Factors of 33891

List of positive integer factors of 33891 that divides 33891 without a remainder.

1, 3, 11, 13, 33, 39, 79, 143, 237, 429, 869, 1027, 2607, 3081, 11297

Step-4: Factors of 33904

List of positive integer factors of 33904 that divides 33891 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 163, 208, 326, 652, 1304, 2119, 2608, 4238, 8476, 16952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33891 and 33904. The biggest common factor number is the GCF number.
So the greatest common factor 33891 and 33904 is 13.

Also check out the Least Common Multiple of 33891 and 33904