What is the Greatest Common Factor of 46332 and 46343?

Greatest common factor (GCF) of 46332 and 46343 is 11.

GCF(46332,46343) = 11

We will now calculate the prime factors of 46332 and 46343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46332 and 46343.

How to find the GCF of 46332 and 46343?

We will first find the prime factorization of 46332 and 46343. After we will calculate the factors of 46332 and 46343 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 46343

Prime factors of 46343 are 11, 383. Prime factorization of 46343 in exponential form is:

46343 = 11² × 383¹

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 46343

List of positive integer factors of 46343 that divides 46332 without a remainder.

1, 11, 121, 383, 4213

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46332 and 46343. The biggest common factor number is the GCF number.
So the greatest common factor 46332 and 46343 is 11.

Also check out the Least Common Multiple of 46332 and 46343