What is the Greatest Common Factor of 33381 and 33400?

Greatest common factor (GCF) of 33381 and 33400 is 1.

GCF(33381,33400) = 1

We will now calculate the prime factors of 33381 and 33400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33381 and 33400.

How to find the GCF of 33381 and 33400?

We will first find the prime factorization of 33381 and 33400. After we will calculate the factors of 33381 and 33400 and find the biggest common factor number .

Step-1: Prime Factorization of 33381

Prime factors of 33381 are 3, 3709. Prime factorization of 33381 in exponential form is:

33381 = 3² × 3709¹

Step-2: Prime Factorization of 33400

Prime factors of 33400 are 2, 5, 167. Prime factorization of 33400 in exponential form is:

33400 = 2³ × 5² × 167¹

Step-3: Factors of 33381

List of positive integer factors of 33381 that divides 33381 without a remainder.

1, 3, 9, 3709, 11127

Step-4: Factors of 33400

List of positive integer factors of 33400 that divides 33381 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 167, 200, 334, 668, 835, 1336, 1670, 3340, 4175, 6680, 8350, 16700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33381 and 33400. The biggest common factor number is the GCF number.
So the greatest common factor 33381 and 33400 is 1.

Also check out the Least Common Multiple of 33381 and 33400