What is the Greatest Common Factor of 46332 and 46338?

Greatest common factor (GCF) of 46332 and 46338 is 6.

GCF(46332,46338) = 6

We will now calculate the prime factors of 46332 and 46338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46332 and 46338.

How to find the GCF of 46332 and 46338?

We will first find the prime factorization of 46332 and 46338. After we will calculate the factors of 46332 and 46338 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 46338

Prime factors of 46338 are 2, 3, 7723. Prime factorization of 46338 in exponential form is:

46338 = 2¹ × 3¹ × 7723¹

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 46338

List of positive integer factors of 46338 that divides 46332 without a remainder.

1, 2, 3, 6, 7723, 15446, 23169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46332 and 46338. The biggest common factor number is the GCF number.
So the greatest common factor 46332 and 46338 is 6.

Also check out the Least Common Multiple of 46332 and 46338