What is the Greatest Common Factor of 33380 and 33398?

Greatest common factor (GCF) of 33380 and 33398 is 2.

GCF(33380,33398) = 2

We will now calculate the prime factors of 33380 and 33398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33380 and 33398.

How to find the GCF of 33380 and 33398?

We will first find the prime factorization of 33380 and 33398. After we will calculate the factors of 33380 and 33398 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 33398

Prime factors of 33398 are 2, 16699. Prime factorization of 33398 in exponential form is:

33398 = 2¹ × 16699¹

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 33398

List of positive integer factors of 33398 that divides 33380 without a remainder.

1, 2, 16699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33380 and 33398. The biggest common factor number is the GCF number.
So the greatest common factor 33380 and 33398 is 2.

Also check out the Least Common Multiple of 33380 and 33398