What is the Greatest Common Factor of 46227 and 46233?

Greatest common factor (GCF) of 46227 and 46233 is 3.

GCF(46227,46233) = 3

We will now calculate the prime factors of 46227 and 46233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46227 and 46233.

How to find the GCF of 46227 and 46233?

We will first find the prime factorization of 46227 and 46233. After we will calculate the factors of 46227 and 46233 and find the biggest common factor number .

Step-1: Prime Factorization of 46227

Prime factors of 46227 are 3, 19, 811. Prime factorization of 46227 in exponential form is:

46227 = 3¹ × 19¹ × 811¹

Step-2: Prime Factorization of 46233

Prime factors of 46233 are 3, 11, 467. Prime factorization of 46233 in exponential form is:

46233 = 3² × 11¹ × 467¹

Step-3: Factors of 46227

List of positive integer factors of 46227 that divides 46227 without a remainder.

1, 3, 19, 57, 811, 2433, 15409

Step-4: Factors of 46233

List of positive integer factors of 46233 that divides 46227 without a remainder.

1, 3, 9, 11, 33, 99, 467, 1401, 4203, 5137, 15411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46227 and 46233. The biggest common factor number is the GCF number.
So the greatest common factor 46227 and 46233 is 3.

Also check out the Least Common Multiple of 46227 and 46233