What is the Greatest Common Factor of 46323 and 46332?

Greatest common factor (GCF) of 46323 and 46332 is 9.

GCF(46323,46332) = 9

We will now calculate the prime factors of 46323 and 46332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46323 and 46332.

How to find the GCF of 46323 and 46332?

We will first find the prime factorization of 46323 and 46332. After we will calculate the factors of 46323 and 46332 and find the biggest common factor number .

Step-1: Prime Factorization of 46323

Prime factors of 46323 are 3, 5147. Prime factorization of 46323 in exponential form is:

46323 = 3² × 5147¹

Step-2: Prime Factorization of 46332

Prime factors of 46332 are 2, 3, 11, 13. Prime factorization of 46332 in exponential form is:

46332 = 2² × 3⁴ × 11¹ × 13¹

Step-3: Factors of 46323

List of positive integer factors of 46323 that divides 46323 without a remainder.

1, 3, 9, 5147, 15441

Step-4: Factors of 46332

List of positive integer factors of 46332 that divides 46323 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 27, 33, 36, 39, 44, 52, 54, 66, 78, 81, 99, 108, 117, 132, 143, 156, 162, 198, 234, 286, 297, 324, 351, 396, 429, 468, 572, 594, 702, 858, 891, 1053, 1188, 1287, 1404, 1716, 1782, 2106, 2574, 3564, 3861, 4212, 5148, 7722, 11583, 15444, 23166

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46323 and 46332. The biggest common factor number is the GCF number.
So the greatest common factor 46323 and 46332 is 9.

Also check out the Least Common Multiple of 46323 and 46332