What is the Greatest Common Factor of 17374 and 17389?

Greatest common factor (GCF) of 17374 and 17389 is 1.

GCF(17374,17389) = 1

We will now calculate the prime factors of 17374 and 17389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17374 and 17389.

How to find the GCF of 17374 and 17389?

We will first find the prime factorization of 17374 and 17389. After we will calculate the factors of 17374 and 17389 and find the biggest common factor number .

Step-1: Prime Factorization of 17374

Prime factors of 17374 are 2, 7, 17, 73. Prime factorization of 17374 in exponential form is:

17374 = 2¹ × 7¹ × 17¹ × 73¹

Step-2: Prime Factorization of 17389

Prime factors of 17389 are 17389. Prime factorization of 17389 in exponential form is:

17389 = 17389¹

Step-3: Factors of 17374

List of positive integer factors of 17374 that divides 17374 without a remainder.

1, 2, 7, 14, 17, 34, 73, 119, 146, 238, 511, 1022, 1241, 2482, 8687

Step-4: Factors of 17389

List of positive integer factors of 17389 that divides 17374 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17374 and 17389. The biggest common factor number is the GCF number.
So the greatest common factor 17374 and 17389 is 1.

Also check out the Least Common Multiple of 17374 and 17389