What is the Greatest Common Factor of 46314 and 46332?

Greatest common factor (GCF) of 46314 and 46332 is 18.

GCF(46314,46332) = 18

We will now calculate the prime factors of 46314 and 46332, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46314 and 46332.

How to find the GCF of 46314 and 46332?

We will first find the prime factorization of 46314 and 46332. After we will calculate the factors of 46314 and 46332 and find the biggest common factor number .

Step-1: Prime Factorization of 46314

Prime factors of 46314 are 2, 3, 31, 83. Prime factorization of 46314 in exponential form is:

46314 = 2¹ × 3² × 31¹ × 83¹

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 46314

List of positive integer factors of 46314 that divides 46314 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 83, 93, 166, 186, 249, 279, 498, 558, 747, 1494, 2573, 5146, 7719, 15438, 23157

Step-4: Factors of 46332

List of positive integer factors of 46332 that divides 46314 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 46314 and 46332. The biggest common factor number is the GCF number.
So the greatest common factor 46314 and 46332 is 18.

Also check out the Least Common Multiple of 46314 and 46332