What is the Greatest Common Factor of 33380 and 33385?

Greatest common factor (GCF) of 33380 and 33385 is 5.

GCF(33380,33385) = 5

We will now calculate the prime factors of 33380 and 33385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33380 and 33385.

How to find the GCF of 33380 and 33385?

We will first find the prime factorization of 33380 and 33385. After we will calculate the factors of 33380 and 33385 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 33385

Prime factors of 33385 are 5, 11, 607. Prime factorization of 33385 in exponential form is:

33385 = 5¹ × 11¹ × 607¹

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 33385

List of positive integer factors of 33385 that divides 33380 without a remainder.

1, 5, 11, 55, 607, 3035, 6677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33380 and 33385. The biggest common factor number is the GCF number.
So the greatest common factor 33380 and 33385 is 5.

Also check out the Least Common Multiple of 33380 and 33385