What is the Greatest Common Factor of 17486 and 17497?

Greatest common factor (GCF) of 17486 and 17497 is 1.

GCF(17486,17497) = 1

We will now calculate the prime factors of 17486 and 17497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17486 and 17497.

How to find the GCF of 17486 and 17497?

We will first find the prime factorization of 17486 and 17497. After we will calculate the factors of 17486 and 17497 and find the biggest common factor number .

Step-1: Prime Factorization of 17486

Prime factors of 17486 are 2, 7, 1249. Prime factorization of 17486 in exponential form is:

17486 = 2¹ × 7¹ × 1249¹

Step-2: Prime Factorization of 17497

Prime factors of 17497 are 17497. Prime factorization of 17497 in exponential form is:

17497 = 17497¹

Step-3: Factors of 17486

List of positive integer factors of 17486 that divides 17486 without a remainder.

1, 2, 7, 14, 1249, 2498, 8743

Step-4: Factors of 17497

List of positive integer factors of 17497 that divides 17486 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17486 and 17497. The biggest common factor number is the GCF number.
So the greatest common factor 17486 and 17497 is 1.

Also check out the Least Common Multiple of 17486 and 17497