What is the Greatest Common Factor of 33348 and 33359?

Greatest common factor (GCF) of 33348 and 33359 is 1.

GCF(33348,33359) = 1

We will now calculate the prime factors of 33348 and 33359, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33348 and 33359.

How to find the GCF of 33348 and 33359?

We will first find the prime factorization of 33348 and 33359. After we will calculate the factors of 33348 and 33359 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 33359

Prime factors of 33359 are 33359. Prime factorization of 33359 in exponential form is:

33359 = 33359¹

Step-3: Factors of 33348

List of positive integer factors of 33348 that divides 33348 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

Step-4: Factors of 33359

List of positive integer factors of 33359 that divides 33348 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33348 and 33359. The biggest common factor number is the GCF number.
So the greatest common factor 33348 and 33359 is 1.

Also check out the Least Common Multiple of 33348 and 33359