What is the Greatest Common Factor of 44385 and 44394?

Greatest common factor (GCF) of 44385 and 44394 is 3.

GCF(44385,44394) = 3

We will now calculate the prime factors of 44385 and 44394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44385 and 44394.

How to find the GCF of 44385 and 44394?

We will first find the prime factorization of 44385 and 44394. After we will calculate the factors of 44385 and 44394 and find the biggest common factor number .

Step-1: Prime Factorization of 44385

Prime factors of 44385 are 3, 5, 11, 269. Prime factorization of 44385 in exponential form is:

44385 = 3¹ × 5¹ × 11¹ × 269¹

Step-2: Prime Factorization of 44394

Prime factors of 44394 are 2, 3, 7, 151. Prime factorization of 44394 in exponential form is:

44394 = 2¹ × 3¹ × 7² × 151¹

Step-3: Factors of 44385

List of positive integer factors of 44385 that divides 44385 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 269, 807, 1345, 2959, 4035, 8877, 14795

Step-4: Factors of 44394

List of positive integer factors of 44394 that divides 44385 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 151, 294, 302, 453, 906, 1057, 2114, 3171, 6342, 7399, 14798, 22197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44385 and 44394. The biggest common factor number is the GCF number.
So the greatest common factor 44385 and 44394 is 3.

Also check out the Least Common Multiple of 44385 and 44394