What is the Greatest Common Factor of 47343 and 47349?

Greatest common factor (GCF) of 47343 and 47349 is 3.

GCF(47343,47349) = 3

We will now calculate the prime factors of 47343 and 47349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47343 and 47349.

How to find the GCF of 47343 and 47349?

We will first find the prime factorization of 47343 and 47349. After we will calculate the factors of 47343 and 47349 and find the biggest common factor number .

Step-1: Prime Factorization of 47343

Prime factors of 47343 are 3, 43, 367. Prime factorization of 47343 in exponential form is:

47343 = 3¹ × 43¹ × 367¹

Step-2: Prime Factorization of 47349

Prime factors of 47349 are 3, 5261. Prime factorization of 47349 in exponential form is:

47349 = 3² × 5261¹

Step-3: Factors of 47343

List of positive integer factors of 47343 that divides 47343 without a remainder.

1, 3, 43, 129, 367, 1101, 15781

Step-4: Factors of 47349

List of positive integer factors of 47349 that divides 47343 without a remainder.

1, 3, 9, 5261, 15783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47343 and 47349. The biggest common factor number is the GCF number.
So the greatest common factor 47343 and 47349 is 3.

Also check out the Least Common Multiple of 47343 and 47349