What is the Greatest Common Factor of 33854 and 33872?

Greatest common factor (GCF) of 33854 and 33872 is 2.

GCF(33854,33872) = 2

We will now calculate the prime factors of 33854 and 33872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33854 and 33872.

How to find the GCF of 33854 and 33872?

We will first find the prime factorization of 33854 and 33872. After we will calculate the factors of 33854 and 33872 and find the biggest common factor number .

Step-1: Prime Factorization of 33854

Prime factors of 33854 are 2, 16927. Prime factorization of 33854 in exponential form is:

33854 = 2¹ × 16927¹

Step-2: Prime Factorization of 33872

Prime factors of 33872 are 2, 29, 73. Prime factorization of 33872 in exponential form is:

33872 = 2⁴ × 29¹ × 73¹

Step-3: Factors of 33854

List of positive integer factors of 33854 that divides 33854 without a remainder.

1, 2, 16927

Step-4: Factors of 33872

List of positive integer factors of 33872 that divides 33854 without a remainder.

1, 2, 4, 8, 16, 29, 58, 73, 116, 146, 232, 292, 464, 584, 1168, 2117, 4234, 8468, 16936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33854 and 33872. The biggest common factor number is the GCF number.
So the greatest common factor 33854 and 33872 is 2.

Also check out the Least Common Multiple of 33854 and 33872