What is the Greatest Common Factor of 17152 and 17166?

Greatest common factor (GCF) of 17152 and 17166 is 2.

GCF(17152,17166) = 2

We will now calculate the prime factors of 17152 and 17166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17152 and 17166.

How to find the GCF of 17152 and 17166?

We will first find the prime factorization of 17152 and 17166. After we will calculate the factors of 17152 and 17166 and find the biggest common factor number .

Step-1: Prime Factorization of 17152

Prime factors of 17152 are 2, 67. Prime factorization of 17152 in exponential form is:

17152 = 2⁸ × 67¹

Step-2: Prime Factorization of 17166

Prime factors of 17166 are 2, 3, 2861. Prime factorization of 17166 in exponential form is:

17166 = 2¹ × 3¹ × 2861¹

Step-3: Factors of 17152

List of positive integer factors of 17152 that divides 17152 without a remainder.

1, 2, 4, 8, 16, 32, 64, 67, 128, 134, 256, 268, 536, 1072, 2144, 4288, 8576

Step-4: Factors of 17166

List of positive integer factors of 17166 that divides 17152 without a remainder.

1, 2, 3, 6, 2861, 5722, 8583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17152 and 17166. The biggest common factor number is the GCF number.
So the greatest common factor 17152 and 17166 is 2.

Also check out the Least Common Multiple of 17152 and 17166