What is the Greatest Common Factor of 17415 and 17435?

Greatest common factor (GCF) of 17415 and 17435 is 5.

GCF(17415,17435) = 5

We will now calculate the prime factors of 17415 and 17435, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17415 and 17435.

How to find the GCF of 17415 and 17435?

We will first find the prime factorization of 17415 and 17435. After we will calculate the factors of 17415 and 17435 and find the biggest common factor number .

Step-1: Prime Factorization of 17415

Prime factors of 17415 are 3, 5, 43. Prime factorization of 17415 in exponential form is:

17415 = 3⁴ × 5¹ × 43¹

Step-2: Prime Factorization of 17435

Prime factors of 17435 are 5, 11, 317. Prime factorization of 17435 in exponential form is:

17435 = 5¹ × 11¹ × 317¹

Step-3: Factors of 17415

List of positive integer factors of 17415 that divides 17415 without a remainder.

1, 3, 5, 9, 15, 27, 43, 45, 81, 129, 135, 215, 387, 405, 645, 1161, 1935, 3483, 5805

Step-4: Factors of 17435

List of positive integer factors of 17435 that divides 17415 without a remainder.

1, 5, 11, 55, 317, 1585, 3487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17415 and 17435. The biggest common factor number is the GCF number.
So the greatest common factor 17415 and 17435 is 5.

Also check out the Least Common Multiple of 17415 and 17435