What is the Greatest Common Factor of 34425 and 34437?

Greatest common factor (GCF) of 34425 and 34437 is 3.

GCF(34425,34437) = 3

We will now calculate the prime factors of 34425 and 34437, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34425 and 34437.

How to find the GCF of 34425 and 34437?

We will first find the prime factorization of 34425 and 34437. After we will calculate the factors of 34425 and 34437 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 34437

Prime factors of 34437 are 3, 13, 883. Prime factorization of 34437 in exponential form is:

34437 = 3¹ × 13¹ × 883¹

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 34437

List of positive integer factors of 34437 that divides 34425 without a remainder.

1, 3, 13, 39, 883, 2649, 11479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34425 and 34437. The biggest common factor number is the GCF number.
So the greatest common factor 34425 and 34437 is 3.

Also check out the Least Common Multiple of 34425 and 34437