What is the Greatest Common Factor of 34415 and 34425?

Greatest common factor (GCF) of 34415 and 34425 is 5.

GCF(34415,34425) = 5

We will now calculate the prime factors of 34415 and 34425, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34415 and 34425.

How to find the GCF of 34415 and 34425?

We will first find the prime factorization of 34415 and 34425. After we will calculate the factors of 34415 and 34425 and find the biggest common factor number .

Step-1: Prime Factorization of 34415

Prime factors of 34415 are 5, 6883. Prime factorization of 34415 in exponential form is:

34415 = 5¹ × 6883¹

Step-2: 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-3: Factors of 34415

List of positive integer factors of 34415 that divides 34415 without a remainder.

1, 5, 6883

Step-4: Factors of 34425

List of positive integer factors of 34425 that divides 34415 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34415 and 34425. The biggest common factor number is the GCF number.
So the greatest common factor 34415 and 34425 is 5.

Also check out the Least Common Multiple of 34415 and 34425