What is the Greatest Common Factor of 41328 and 41335?

Greatest common factor (GCF) of 41328 and 41335 is 7.

GCF(41328,41335) = 7

We will now calculate the prime factors of 41328 and 41335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41328 and 41335.

How to find the GCF of 41328 and 41335?

We will first find the prime factorization of 41328 and 41335. After we will calculate the factors of 41328 and 41335 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41335

Prime factors of 41335 are 5, 7, 1181. Prime factorization of 41335 in exponential form is:

41335 = 5¹ × 7¹ × 1181¹

Step-3: Factors of 41328

List of positive integer factors of 41328 that divides 41328 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

Step-4: Factors of 41335

List of positive integer factors of 41335 that divides 41328 without a remainder.

1, 5, 7, 35, 1181, 5905, 8267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41328 and 41335. The biggest common factor number is the GCF number.
So the greatest common factor 41328 and 41335 is 7.

Also check out the Least Common Multiple of 41328 and 41335