What is the Greatest Common Factor of 33380 and 33400?

Greatest common factor (GCF) of 33380 and 33400 is 20.

GCF(33380,33400) = 20

We will now calculate the prime factors of 33380 and 33400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33380 and 33400.

How to find the GCF of 33380 and 33400?

We will first find the prime factorization of 33380 and 33400. After we will calculate the factors of 33380 and 33400 and find the biggest common factor number .

Step-1: Prime Factorization of 33380

Prime factors of 33380 are 2, 5, 1669. Prime factorization of 33380 in exponential form is:

33380 = 2² × 5¹ × 1669¹

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 33380

List of positive integer factors of 33380 that divides 33380 without a remainder.

1, 2, 4, 5, 10, 20, 1669, 3338, 6676, 8345, 16690

Step-4: Factors of 33400

List of positive integer factors of 33400 that divides 33380 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 33380 and 33400. The biggest common factor number is the GCF number.
So the greatest common factor 33380 and 33400 is 20.

Also check out the Least Common Multiple of 33380 and 33400