What is the Greatest Common Factor of 17385 and 17402?

Greatest common factor (GCF) of 17385 and 17402 is 1.

GCF(17385,17402) = 1

We will now calculate the prime factors of 17385 and 17402, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17385 and 17402.

How to find the GCF of 17385 and 17402?

We will first find the prime factorization of 17385 and 17402. After we will calculate the factors of 17385 and 17402 and find the biggest common factor number .

Step-1: Prime Factorization of 17385

Prime factors of 17385 are 3, 5, 19, 61. Prime factorization of 17385 in exponential form is:

17385 = 3¹ × 5¹ × 19¹ × 61¹

Step-2: Prime Factorization of 17402

Prime factors of 17402 are 2, 7, 11, 113. Prime factorization of 17402 in exponential form is:

17402 = 2¹ × 7¹ × 11¹ × 113¹

Step-3: Factors of 17385

List of positive integer factors of 17385 that divides 17385 without a remainder.

1, 3, 5, 15, 19, 57, 61, 95, 183, 285, 305, 915, 1159, 3477, 5795

Step-4: Factors of 17402

List of positive integer factors of 17402 that divides 17385 without a remainder.

1, 2, 7, 11, 14, 22, 77, 113, 154, 226, 791, 1243, 1582, 2486, 8701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17385 and 17402. The biggest common factor number is the GCF number.
So the greatest common factor 17385 and 17402 is 1.

Also check out the Least Common Multiple of 17385 and 17402