What is the Greatest Common Factor of 33896 and 33901?

Greatest common factor (GCF) of 33896 and 33901 is 1.

GCF(33896,33901) = 1

We will now calculate the prime factors of 33896 and 33901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33896 and 33901.

How to find the GCF of 33896 and 33901?

We will first find the prime factorization of 33896 and 33901. After we will calculate the factors of 33896 and 33901 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33901

Prime factors of 33901 are 7, 29, 167. Prime factorization of 33901 in exponential form is:

33901 = 7¹ × 29¹ × 167¹

Step-3: Factors of 33896

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

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

Step-4: Factors of 33901

List of positive integer factors of 33901 that divides 33896 without a remainder.

1, 7, 29, 167, 203, 1169, 4843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33896 and 33901. The biggest common factor number is the GCF number.
So the greatest common factor 33896 and 33901 is 1.

Also check out the Least Common Multiple of 33896 and 33901