What is the Greatest Common Factor of 33892 and 33896?

Greatest common factor (GCF) of 33892 and 33896 is 4.

GCF(33892,33896) = 4

We will now calculate the prime factors of 33892 and 33896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33892 and 33896.

How to find the GCF of 33892 and 33896?

We will first find the prime factorization of 33892 and 33896. After we will calculate the factors of 33892 and 33896 and find the biggest common factor number .

Step-1: Prime Factorization of 33892

Prime factors of 33892 are 2, 37, 229. Prime factorization of 33892 in exponential form is:

33892 = 2² × 37¹ × 229¹

Step-2: Prime Factorization of 33896

Prime factors of 33896 are 2, 19, 223. Prime factorization of 33896 in exponential form is:

33896 = 2³ × 19¹ × 223¹

Step-3: Factors of 33892

List of positive integer factors of 33892 that divides 33892 without a remainder.

1, 2, 4, 37, 74, 148, 229, 458, 916, 8473, 16946

Step-4: Factors of 33896

List of positive integer factors of 33896 that divides 33892 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 223, 446, 892, 1784, 4237, 8474, 16948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33892 and 33896. The biggest common factor number is the GCF number.
So the greatest common factor 33892 and 33896 is 4.

Also check out the Least Common Multiple of 33892 and 33896