What is the Greatest Common Factor of 46332 and 46344?

Greatest common factor (GCF) of 46332 and 46344 is 12.

GCF(46332,46344) = 12

We will now calculate the prime factors of 46332 and 46344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46332 and 46344.

How to find the GCF of 46332 and 46344?

We will first find the prime factorization of 46332 and 46344. After we will calculate the factors of 46332 and 46344 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 46344

Prime factors of 46344 are 2, 3, 1931. Prime factorization of 46344 in exponential form is:

46344 = 2³ × 3¹ × 1931¹

Step-3: Factors of 46332

List of positive integer factors of 46332 that divides 46332 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

Step-4: Factors of 46344

List of positive integer factors of 46344 that divides 46332 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1931, 3862, 5793, 7724, 11586, 15448, 23172

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46332 and 46344. The biggest common factor number is the GCF number.
So the greatest common factor 46332 and 46344 is 12.

Also check out the Least Common Multiple of 46332 and 46344