What is the Greatest Common Factor of 17285 and 17300?

Greatest common factor (GCF) of 17285 and 17300 is 5.

GCF(17285,17300) = 5

We will now calculate the prime factors of 17285 and 17300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17285 and 17300.

How to find the GCF of 17285 and 17300?

We will first find the prime factorization of 17285 and 17300. After we will calculate the factors of 17285 and 17300 and find the biggest common factor number .

Step-1: Prime Factorization of 17285

Prime factors of 17285 are 5, 3457. Prime factorization of 17285 in exponential form is:

17285 = 5¹ × 3457¹

Step-2: Prime Factorization of 17300

Prime factors of 17300 are 2, 5, 173. Prime factorization of 17300 in exponential form is:

17300 = 2² × 5² × 173¹

Step-3: Factors of 17285

List of positive integer factors of 17285 that divides 17285 without a remainder.

1, 5, 3457

Step-4: Factors of 17300

List of positive integer factors of 17300 that divides 17285 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 173, 346, 692, 865, 1730, 3460, 4325, 8650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17285 and 17300. The biggest common factor number is the GCF number.
So the greatest common factor 17285 and 17300 is 5.

Also check out the Least Common Multiple of 17285 and 17300