What is the Greatest Common Factor of 17517 and 17536?

Greatest common factor (GCF) of 17517 and 17536 is 1.

GCF(17517,17536) = 1

We will now calculate the prime factors of 17517 and 17536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17517 and 17536.

How to find the GCF of 17517 and 17536?

We will first find the prime factorization of 17517 and 17536. After we will calculate the factors of 17517 and 17536 and find the biggest common factor number .

Step-1: Prime Factorization of 17517

Prime factors of 17517 are 3, 5839. Prime factorization of 17517 in exponential form is:

17517 = 3¹ × 5839¹

Step-2: Prime Factorization of 17536

Prime factors of 17536 are 2, 137. Prime factorization of 17536 in exponential form is:

17536 = 2⁷ × 137¹

Step-3: Factors of 17517

List of positive integer factors of 17517 that divides 17517 without a remainder.

1, 3, 5839

Step-4: Factors of 17536

List of positive integer factors of 17536 that divides 17517 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 137, 274, 548, 1096, 2192, 4384, 8768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17517 and 17536. The biggest common factor number is the GCF number.
So the greatest common factor 17517 and 17536 is 1.

Also check out the Least Common Multiple of 17517 and 17536