What is the Greatest Common Factor of 34425 and 34435?

Greatest common factor (GCF) of 34425 and 34435 is 5.

GCF(34425,34435) = 5

We will now calculate the prime factors of 34425 and 34435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34425 and 34435.

How to find the GCF of 34425 and 34435?

We will first find the prime factorization of 34425 and 34435. After we will calculate the factors of 34425 and 34435 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 34435

Prime factors of 34435 are 5, 71, 97. Prime factorization of 34435 in exponential form is:

34435 = 5¹ × 71¹ × 97¹

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 34435

List of positive integer factors of 34435 that divides 34425 without a remainder.

1, 5, 71, 97, 355, 485, 6887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34425 and 34435. The biggest common factor number is the GCF number.
So the greatest common factor 34425 and 34435 is 5.

Also check out the Least Common Multiple of 34425 and 34435