What is the Greatest Common Factor of 41319 and 41328?

Greatest common factor (GCF) of 41319 and 41328 is 9.

GCF(41319,41328) = 9

We will now calculate the prime factors of 41319 and 41328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41319 and 41328.

How to find the GCF of 41319 and 41328?

We will first find the prime factorization of 41319 and 41328. After we will calculate the factors of 41319 and 41328 and find the biggest common factor number .

Step-1: Prime Factorization of 41319

Prime factors of 41319 are 3, 4591. Prime factorization of 41319 in exponential form is:

41319 = 3² × 4591¹

Step-2: Prime Factorization of 41328

Prime factors of 41328 are 2, 3, 7, 41. Prime factorization of 41328 in exponential form is:

41328 = 2⁴ × 3² × 7¹ × 41¹

Step-3: Factors of 41319

List of positive integer factors of 41319 that divides 41319 without a remainder.

1, 3, 9, 4591, 13773

Step-4: Factors of 41328

List of positive integer factors of 41328 that divides 41319 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 41, 42, 48, 56, 63, 72, 82, 84, 112, 123, 126, 144, 164, 168, 246, 252, 287, 328, 336, 369, 492, 504, 574, 656, 738, 861, 984, 1008, 1148, 1476, 1722, 1968, 2296, 2583, 2952, 3444, 4592, 5166, 5904, 6888, 10332, 13776, 20664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41319 and 41328. The biggest common factor number is the GCF number.
So the greatest common factor 41319 and 41328 is 9.

Also check out the Least Common Multiple of 41319 and 41328