What is the Greatest Common Factor of 17380 and 17398?

Greatest common factor (GCF) of 17380 and 17398 is 2.

GCF(17380,17398) = 2

We will now calculate the prime factors of 17380 and 17398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17380 and 17398.

How to find the GCF of 17380 and 17398?

We will first find the prime factorization of 17380 and 17398. After we will calculate the factors of 17380 and 17398 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 17398

Prime factors of 17398 are 2, 8699. Prime factorization of 17398 in exponential form is:

17398 = 2¹ × 8699¹

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 17398

List of positive integer factors of 17398 that divides 17380 without a remainder.

1, 2, 8699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17380 and 17398. The biggest common factor number is the GCF number.
So the greatest common factor 17380 and 17398 is 2.

Also check out the Least Common Multiple of 17380 and 17398