What is the Greatest Common Factor of 33856 and 33862?

Greatest common factor (GCF) of 33856 and 33862 is 2.

GCF(33856,33862) = 2

We will now calculate the prime factors of 33856 and 33862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33856 and 33862.

How to find the GCF of 33856 and 33862?

We will first find the prime factorization of 33856 and 33862. After we will calculate the factors of 33856 and 33862 and find the biggest common factor number .

Step-1: Prime Factorization of 33856

Prime factors of 33856 are 2, 23. Prime factorization of 33856 in exponential form is:

33856 = 2⁶ × 23²

Step-2: Prime Factorization of 33862

Prime factors of 33862 are 2, 16931. Prime factorization of 33862 in exponential form is:

33862 = 2¹ × 16931¹

Step-3: Factors of 33856

List of positive integer factors of 33856 that divides 33856 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 529, 736, 1058, 1472, 2116, 4232, 8464, 16928

Step-4: Factors of 33862

List of positive integer factors of 33862 that divides 33856 without a remainder.

1, 2, 16931

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33856 and 33862. The biggest common factor number is the GCF number.
So the greatest common factor 33856 and 33862 is 2.

Also check out the Least Common Multiple of 33856 and 33862