What is the Greatest Common Factor of 17104 and 17112?

Greatest common factor (GCF) of 17104 and 17112 is 8.

GCF(17104,17112) = 8

We will now calculate the prime factors of 17104 and 17112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17104 and 17112.

How to find the GCF of 17104 and 17112?

We will first find the prime factorization of 17104 and 17112. After we will calculate the factors of 17104 and 17112 and find the biggest common factor number .

Step-1: Prime Factorization of 17104

Prime factors of 17104 are 2, 1069. Prime factorization of 17104 in exponential form is:

17104 = 2⁴ × 1069¹

Step-2: Prime Factorization of 17112

Prime factors of 17112 are 2, 3, 23, 31. Prime factorization of 17112 in exponential form is:

17112 = 2³ × 3¹ × 23¹ × 31¹

Step-3: Factors of 17104

List of positive integer factors of 17104 that divides 17104 without a remainder.

1, 2, 4, 8, 16, 1069, 2138, 4276, 8552

Step-4: Factors of 17112

List of positive integer factors of 17112 that divides 17104 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 31, 46, 62, 69, 92, 93, 124, 138, 184, 186, 248, 276, 372, 552, 713, 744, 1426, 2139, 2852, 4278, 5704, 8556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17104 and 17112. The biggest common factor number is the GCF number.
So the greatest common factor 17104 and 17112 is 8.

Also check out the Least Common Multiple of 17104 and 17112