What is the Greatest Common Factor of 17038 and 17056?

Greatest common factor (GCF) of 17038 and 17056 is 2.

GCF(17038,17056) = 2

We will now calculate the prime factors of 17038 and 17056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17038 and 17056.

How to find the GCF of 17038 and 17056?

We will first find the prime factorization of 17038 and 17056. After we will calculate the factors of 17038 and 17056 and find the biggest common factor number .

Step-1: Prime Factorization of 17038

Prime factors of 17038 are 2, 7, 1217. Prime factorization of 17038 in exponential form is:

17038 = 2¹ × 7¹ × 1217¹

Step-2: Prime Factorization of 17056

Prime factors of 17056 are 2, 13, 41. Prime factorization of 17056 in exponential form is:

17056 = 2⁵ × 13¹ × 41¹

Step-3: Factors of 17038

List of positive integer factors of 17038 that divides 17038 without a remainder.

1, 2, 7, 14, 1217, 2434, 8519

Step-4: Factors of 17056

List of positive integer factors of 17056 that divides 17038 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 41, 52, 82, 104, 164, 208, 328, 416, 533, 656, 1066, 1312, 2132, 4264, 8528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17038 and 17056. The biggest common factor number is the GCF number.
So the greatest common factor 17038 and 17056 is 2.

Also check out the Least Common Multiple of 17038 and 17056