What is the Greatest Common Factor of 33904 and 33914?

Greatest common factor (GCF) of 33904 and 33914 is 2.

GCF(33904,33914) = 2

We will now calculate the prime factors of 33904 and 33914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33904 and 33914.

How to find the GCF of 33904 and 33914?

We will first find the prime factorization of 33904 and 33914. After we will calculate the factors of 33904 and 33914 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33914

Prime factors of 33914 are 2, 31, 547. Prime factorization of 33914 in exponential form is:

33914 = 2¹ × 31¹ × 547¹

Step-3: Factors of 33904

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

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

Step-4: Factors of 33914

List of positive integer factors of 33914 that divides 33904 without a remainder.

1, 2, 31, 62, 547, 1094, 16957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33904 and 33914. The biggest common factor number is the GCF number.
So the greatest common factor 33904 and 33914 is 2.

Also check out the Least Common Multiple of 33904 and 33914