What is the Greatest Common Factor of 34425 and 34440?

Greatest common factor (GCF) of 34425 and 34440 is 15.

GCF(34425,34440) = 15

We will now calculate the prime factors of 34425 and 34440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34425 and 34440.

How to find the GCF of 34425 and 34440?

We will first find the prime factorization of 34425 and 34440. After we will calculate the factors of 34425 and 34440 and find the biggest common factor number .

Step-1: Prime Factorization of 34425

Prime factors of 34425 are 3, 5, 17. Prime factorization of 34425 in exponential form is:

34425 = 3⁴ × 5² × 17¹

Step-2: Prime Factorization of 34440

Prime factors of 34440 are 2, 3, 5, 7, 41. Prime factorization of 34440 in exponential form is:

34440 = 2³ × 3¹ × 5¹ × 7¹ × 41¹

Step-3: Factors of 34425

List of positive integer factors of 34425 that divides 34425 without a remainder.

1, 3, 5, 9, 15, 17, 25, 27, 45, 51, 75, 81, 85, 135, 153, 225, 255, 405, 425, 459, 675, 765, 1275, 1377, 2025, 2295, 3825, 6885, 11475

Step-4: Factors of 34440

List of positive integer factors of 34440 that divides 34425 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 41, 42, 56, 60, 70, 82, 84, 105, 120, 123, 140, 164, 168, 205, 210, 246, 280, 287, 328, 410, 420, 492, 574, 615, 820, 840, 861, 984, 1148, 1230, 1435, 1640, 1722, 2296, 2460, 2870, 3444, 4305, 4920, 5740, 6888, 8610, 11480, 17220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34425 and 34440. The biggest common factor number is the GCF number.
So the greatest common factor 34425 and 34440 is 15.

Also check out the Least Common Multiple of 34425 and 34440