What is the Greatest Common Factor of 44397 and 44415?

Greatest common factor (GCF) of 44397 and 44415 is 9.

GCF(44397,44415) = 9

We will now calculate the prime factors of 44397 and 44415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44397 and 44415.

How to find the GCF of 44397 and 44415?

We will first find the prime factorization of 44397 and 44415. After we will calculate the factors of 44397 and 44415 and find the biggest common factor number .

Step-1: Prime Factorization of 44397

Prime factors of 44397 are 3, 4933. Prime factorization of 44397 in exponential form is:

44397 = 3² × 4933¹

Step-2: Prime Factorization of 44415

Prime factors of 44415 are 3, 5, 7, 47. Prime factorization of 44415 in exponential form is:

44415 = 3³ × 5¹ × 7¹ × 47¹

Step-3: Factors of 44397

List of positive integer factors of 44397 that divides 44397 without a remainder.

1, 3, 9, 4933, 14799

Step-4: Factors of 44415

List of positive integer factors of 44415 that divides 44397 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 47, 63, 105, 135, 141, 189, 235, 315, 329, 423, 705, 945, 987, 1269, 1645, 2115, 2961, 4935, 6345, 8883, 14805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44397 and 44415. The biggest common factor number is the GCF number.
So the greatest common factor 44397 and 44415 is 9.

Also check out the Least Common Multiple of 44397 and 44415