What is the Greatest Common Factor of 33313 and 33333?

Greatest common factor (GCF) of 33313 and 33333 is 1.

GCF(33313,33333) = 1

We will now calculate the prime factors of 33313 and 33333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 33313 and 33333.

How to find the GCF of 33313 and 33333?

We will first find the prime factorization of 33313 and 33333. After we will calculate the factors of 33313 and 33333 and find the biggest common factor number .

Step-1: Prime Factorization of 33313

Prime factors of 33313 are 7, 4759. Prime factorization of 33313 in exponential form is:

33313 = 7¹ × 4759¹

Step-2: 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-3: Factors of 33313

List of positive integer factors of 33313 that divides 33313 without a remainder.

1, 7, 4759

Step-4: Factors of 33333

List of positive integer factors of 33333 that divides 33313 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 33313 and 33333. The biggest common factor number is the GCF number.
So the greatest common factor 33313 and 33333 is 1.

Also check out the Least Common Multiple of 33313 and 33333