What is the Greatest Common Factor of 17237 and 17248?

Greatest common factor (GCF) of 17237 and 17248 is 11.

GCF(17237,17248) = 11

We will now calculate the prime factors of 17237 and 17248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17237 and 17248.

How to find the GCF of 17237 and 17248?

We will first find the prime factorization of 17237 and 17248. After we will calculate the factors of 17237 and 17248 and find the biggest common factor number .

Step-1: Prime Factorization of 17237

Prime factors of 17237 are 11, 1567. Prime factorization of 17237 in exponential form is:

17237 = 11¹ × 1567¹

Step-2: 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-3: Factors of 17237

List of positive integer factors of 17237 that divides 17237 without a remainder.

1, 11, 1567

Step-4: Factors of 17248

List of positive integer factors of 17248 that divides 17237 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17237 and 17248. The biggest common factor number is the GCF number.
So the greatest common factor 17237 and 17248 is 11.

Also check out the Least Common Multiple of 17237 and 17248