What is the Greatest Common Factor of 17380 and 17385?

Greatest common factor (GCF) of 17380 and 17385 is 5.

GCF(17380,17385) = 5

We will now calculate the prime factors of 17380 and 17385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17380 and 17385.

How to find the GCF of 17380 and 17385?

We will first find the prime factorization of 17380 and 17385. After we will calculate the factors of 17380 and 17385 and find the biggest common factor number .

Step-1: Prime Factorization of 17380

Prime factors of 17380 are 2, 5, 11, 79. Prime factorization of 17380 in exponential form is:

17380 = 2² × 5¹ × 11¹ × 79¹

Step-2: 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-3: Factors of 17380

List of positive integer factors of 17380 that divides 17380 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 79, 110, 158, 220, 316, 395, 790, 869, 1580, 1738, 3476, 4345, 8690

Step-4: Factors of 17385

List of positive integer factors of 17385 that divides 17380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17380 and 17385. The biggest common factor number is the GCF number.
So the greatest common factor 17380 and 17385 is 5.

Also check out the Least Common Multiple of 17380 and 17385