What is the Greatest Common Factor of 47331 and 47346?

Greatest common factor (GCF) of 47331 and 47346 is 3.

GCF(47331,47346) = 3

We will now calculate the prime factors of 47331 and 47346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47331 and 47346.

How to find the GCF of 47331 and 47346?

We will first find the prime factorization of 47331 and 47346. After we will calculate the factors of 47331 and 47346 and find the biggest common factor number .

Step-1: Prime Factorization of 47331

Prime factors of 47331 are 3, 1753. Prime factorization of 47331 in exponential form is:

47331 = 3³ × 1753¹

Step-2: Prime Factorization of 47346

Prime factors of 47346 are 2, 3, 13, 607. Prime factorization of 47346 in exponential form is:

47346 = 2¹ × 3¹ × 13¹ × 607¹

Step-3: Factors of 47331

List of positive integer factors of 47331 that divides 47331 without a remainder.

1, 3, 9, 27, 1753, 5259, 15777

Step-4: Factors of 47346

List of positive integer factors of 47346 that divides 47331 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 607, 1214, 1821, 3642, 7891, 15782, 23673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47331 and 47346. The biggest common factor number is the GCF number.
So the greatest common factor 47331 and 47346 is 3.

Also check out the Least Common Multiple of 47331 and 47346