What is the Greatest Common Factor of 44370 and 44385?

Greatest common factor (GCF) of 44370 and 44385 is 15.

GCF(44370,44385) = 15

We will now calculate the prime factors of 44370 and 44385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44370 and 44385.

How to find the GCF of 44370 and 44385?

We will first find the prime factorization of 44370 and 44385. After we will calculate the factors of 44370 and 44385 and find the biggest common factor number .

Step-1: Prime Factorization of 44370

Prime factors of 44370 are 2, 3, 5, 17, 29. Prime factorization of 44370 in exponential form is:

44370 = 2¹ × 3² × 5¹ × 17¹ × 29¹

Step-2: 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-3: Factors of 44370

List of positive integer factors of 44370 that divides 44370 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 29, 30, 34, 45, 51, 58, 85, 87, 90, 102, 145, 153, 170, 174, 255, 261, 290, 306, 435, 493, 510, 522, 765, 870, 986, 1305, 1479, 1530, 2465, 2610, 2958, 4437, 4930, 7395, 8874, 14790, 22185

Step-4: Factors of 44385

List of positive integer factors of 44385 that divides 44370 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44370 and 44385. The biggest common factor number is the GCF number.
So the greatest common factor 44370 and 44385 is 15.

Also check out the Least Common Multiple of 44370 and 44385