What is the Greatest Common Factor of 33371 and 33388?

Greatest common factor (GCF) of 33371 and 33388 is 17.

GCF(33371,33388) = 17

We will now calculate the prime factors of 33371 and 33388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33371 and 33388.

How to find the GCF of 33371 and 33388?

We will first find the prime factorization of 33371 and 33388. After we will calculate the factors of 33371 and 33388 and find the biggest common factor number .

Step-1: Prime Factorization of 33371

Prime factors of 33371 are 13, 17, 151. Prime factorization of 33371 in exponential form is:

33371 = 13¹ × 17¹ × 151¹

Step-2: Prime Factorization of 33388

Prime factors of 33388 are 2, 17, 491. Prime factorization of 33388 in exponential form is:

33388 = 2² × 17¹ × 491¹

Step-3: Factors of 33371

List of positive integer factors of 33371 that divides 33371 without a remainder.

1, 13, 17, 151, 221, 1963, 2567

Step-4: Factors of 33388

List of positive integer factors of 33388 that divides 33371 without a remainder.

1, 2, 4, 17, 34, 68, 491, 982, 1964, 8347, 16694

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33371 and 33388. The biggest common factor number is the GCF number.
So the greatest common factor 33371 and 33388 is 17.

Also check out the Least Common Multiple of 33371 and 33388