What is the Greatest Common Factor of 17648 and 17659?

Greatest common factor (GCF) of 17648 and 17659 is 1.

GCF(17648,17659) = 1

We will now calculate the prime factors of 17648 and 17659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17648 and 17659.

How to find the GCF of 17648 and 17659?

We will first find the prime factorization of 17648 and 17659. After we will calculate the factors of 17648 and 17659 and find the biggest common factor number .

Step-1: Prime Factorization of 17648

Prime factors of 17648 are 2, 1103. Prime factorization of 17648 in exponential form is:

17648 = 2⁴ × 1103¹

Step-2: Prime Factorization of 17659

Prime factors of 17659 are 17659. Prime factorization of 17659 in exponential form is:

17659 = 17659¹

Step-3: Factors of 17648

List of positive integer factors of 17648 that divides 17648 without a remainder.

1, 2, 4, 8, 16, 1103, 2206, 4412, 8824

Step-4: Factors of 17659

List of positive integer factors of 17659 that divides 17648 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17648 and 17659. The biggest common factor number is the GCF number.
So the greatest common factor 17648 and 17659 is 1.

Also check out the Least Common Multiple of 17648 and 17659