What is the Greatest Common Factor of 17248 and 17266?

Greatest common factor (GCF) of 17248 and 17266 is 2.

GCF(17248,17266) = 2

We will now calculate the prime factors of 17248 and 17266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17248 and 17266.

How to find the GCF of 17248 and 17266?

We will first find the prime factorization of 17248 and 17266. After we will calculate the factors of 17248 and 17266 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 17266

Prime factors of 17266 are 2, 89, 97. Prime factorization of 17266 in exponential form is:

17266 = 2¹ × 89¹ × 97¹

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 17266

List of positive integer factors of 17266 that divides 17248 without a remainder.

1, 2, 89, 97, 178, 194, 8633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17248 and 17266. The biggest common factor number is the GCF number.
So the greatest common factor 17248 and 17266 is 2.

Also check out the Least Common Multiple of 17248 and 17266