What is the Greatest Common Factor of 33348 and 33353?

Greatest common factor (GCF) of 33348 and 33353 is 1.

GCF(33348,33353) = 1

We will now calculate the prime factors of 33348 and 33353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33348 and 33353.

How to find the GCF of 33348 and 33353?

We will first find the prime factorization of 33348 and 33353. After we will calculate the factors of 33348 and 33353 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 33353

Prime factors of 33353 are 33353. Prime factorization of 33353 in exponential form is:

33353 = 33353¹

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 33353

List of positive integer factors of 33353 that divides 33348 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33348 and 33353. The biggest common factor number is the GCF number.
So the greatest common factor 33348 and 33353 is 1.

Also check out the Least Common Multiple of 33348 and 33353