What is the Greatest Common Factor of 17248 and 17252?

Greatest common factor (GCF) of 17248 and 17252 is 4.

GCF(17248,17252) = 4

We will now calculate the prime factors of 17248 and 17252, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17248 and 17252.

How to find the GCF of 17248 and 17252?

We will first find the prime factorization of 17248 and 17252. After we will calculate the factors of 17248 and 17252 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 17252

Prime factors of 17252 are 2, 19, 227. Prime factorization of 17252 in exponential form is:

17252 = 2² × 19¹ × 227¹

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 17252

List of positive integer factors of 17252 that divides 17248 without a remainder.

1, 2, 4, 19, 38, 76, 227, 454, 908, 4313, 8626

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17248 and 17252. The biggest common factor number is the GCF number.
So the greatest common factor 17248 and 17252 is 4.

Also check out the Least Common Multiple of 17248 and 17252