What is the Greatest Common Factor of 33333 and 33348?

Greatest common factor (GCF) of 33333 and 33348 is 3.

GCF(33333,33348) = 3

We will now calculate the prime factors of 33333 and 33348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33333 and 33348.

How to find the GCF of 33333 and 33348?

We will first find the prime factorization of 33333 and 33348. After we will calculate the factors of 33333 and 33348 and find the biggest common factor number .

Step-1: Prime Factorization of 33333

Prime factors of 33333 are 3, 41, 271. Prime factorization of 33333 in exponential form is:

33333 = 3¹ × 41¹ × 271¹

Step-2: Prime Factorization of 33348

Prime factors of 33348 are 2, 3, 7, 397. Prime factorization of 33348 in exponential form is:

33348 = 2² × 3¹ × 7¹ × 397¹

Step-3: Factors of 33333

List of positive integer factors of 33333 that divides 33333 without a remainder.

1, 3, 41, 123, 271, 813, 11111

Step-4: Factors of 33348

List of positive integer factors of 33348 that divides 33333 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 397, 794, 1191, 1588, 2382, 2779, 4764, 5558, 8337, 11116, 16674

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33333 and 33348. The biggest common factor number is the GCF number.
So the greatest common factor 33333 and 33348 is 3.

Also check out the Least Common Multiple of 33333 and 33348