What is the Greatest Common Factor of 17375 and 17381?

Greatest common factor (GCF) of 17375 and 17381 is 1.

GCF(17375,17381) = 1

We will now calculate the prime factors of 17375 and 17381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17375 and 17381.

How to find the GCF of 17375 and 17381?

We will first find the prime factorization of 17375 and 17381. After we will calculate the factors of 17375 and 17381 and find the biggest common factor number .

Step-1: Prime Factorization of 17375

Prime factors of 17375 are 5, 139. Prime factorization of 17375 in exponential form is:

17375 = 5³ × 139¹

Step-2: Prime Factorization of 17381

Prime factors of 17381 are 7, 13, 191. Prime factorization of 17381 in exponential form is:

17381 = 7¹ × 13¹ × 191¹

Step-3: Factors of 17375

List of positive integer factors of 17375 that divides 17375 without a remainder.

1, 5, 25, 125, 139, 695, 3475

Step-4: Factors of 17381

List of positive integer factors of 17381 that divides 17375 without a remainder.

1, 7, 13, 91, 191, 1337, 2483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17375 and 17381. The biggest common factor number is the GCF number.
So the greatest common factor 17375 and 17381 is 1.

Also check out the Least Common Multiple of 17375 and 17381