What is the Greatest Common Factor of 17248 and 17259?

Greatest common factor (GCF) of 17248 and 17259 is 11.

GCF(17248,17259) = 11

We will now calculate the prime factors of 17248 and 17259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17248 and 17259.

How to find the GCF of 17248 and 17259?

We will first find the prime factorization of 17248 and 17259. After we will calculate the factors of 17248 and 17259 and find the biggest common factor number .

Step-1: Prime Factorization of 17248

Prime factors of 17248 are 2, 7, 11. Prime factorization of 17248 in exponential form is:

17248 = 2⁵ × 7² × 11¹

Step-2: Prime Factorization of 17259

Prime factors of 17259 are 3, 11, 523. Prime factorization of 17259 in exponential form is:

17259 = 3¹ × 11¹ × 523¹

Step-3: Factors of 17248

List of positive integer factors of 17248 that divides 17248 without a remainder.

1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 49, 56, 77, 88, 98, 112, 154, 176, 196, 224, 308, 352, 392, 539, 616, 784, 1078, 1232, 1568, 2156, 2464, 4312, 8624

Step-4: Factors of 17259

List of positive integer factors of 17259 that divides 17248 without a remainder.

1, 3, 11, 33, 523, 1569, 5753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17248 and 17259. The biggest common factor number is the GCF number.
So the greatest common factor 17248 and 17259 is 11.

Also check out the Least Common Multiple of 17248 and 17259