What is the Greatest Common Factor of 17056 and 17069?

Greatest common factor (GCF) of 17056 and 17069 is 13.

GCF(17056,17069) = 13

We will now calculate the prime factors of 17056 and 17069, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17056 and 17069.

How to find the GCF of 17056 and 17069?

We will first find the prime factorization of 17056 and 17069. After we will calculate the factors of 17056 and 17069 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17069

Prime factors of 17069 are 13, 101. Prime factorization of 17069 in exponential form is:

17069 = 13² × 101¹

Step-3: Factors of 17056

List of positive integer factors of 17056 that divides 17056 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

Step-4: Factors of 17069

List of positive integer factors of 17069 that divides 17056 without a remainder.

1, 13, 101, 169, 1313

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17056 and 17069. The biggest common factor number is the GCF number.
So the greatest common factor 17056 and 17069 is 13.

Also check out the Least Common Multiple of 17056 and 17069