What is the Greatest Common Factor of 47325 and 47343?

Greatest common factor (GCF) of 47325 and 47343 is 3.

GCF(47325,47343) = 3

We will now calculate the prime factors of 47325 and 47343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47325 and 47343.

How to find the GCF of 47325 and 47343?

We will first find the prime factorization of 47325 and 47343. After we will calculate the factors of 47325 and 47343 and find the biggest common factor number .

Step-1: Prime Factorization of 47325

Prime factors of 47325 are 3, 5, 631. Prime factorization of 47325 in exponential form is:

47325 = 3¹ × 5² × 631¹

Step-2: 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-3: Factors of 47325

List of positive integer factors of 47325 that divides 47325 without a remainder.

1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775

Step-4: Factors of 47343

List of positive integer factors of 47343 that divides 47325 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47325 and 47343. The biggest common factor number is the GCF number.
So the greatest common factor 47325 and 47343 is 3.

Also check out the Least Common Multiple of 47325 and 47343