What is the Greatest Common Factor of 17158 and 17172?

Greatest common factor (GCF) of 17158 and 17172 is 2.

GCF(17158,17172) = 2

We will now calculate the prime factors of 17158 and 17172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17158 and 17172.

How to find the GCF of 17158 and 17172?

We will first find the prime factorization of 17158 and 17172. After we will calculate the factors of 17158 and 17172 and find the biggest common factor number .

Step-1: Prime Factorization of 17158

Prime factors of 17158 are 2, 23, 373. Prime factorization of 17158 in exponential form is:

17158 = 2¹ × 23¹ × 373¹

Step-2: Prime Factorization of 17172

Prime factors of 17172 are 2, 3, 53. Prime factorization of 17172 in exponential form is:

17172 = 2² × 3⁴ × 53¹

Step-3: Factors of 17158

List of positive integer factors of 17158 that divides 17158 without a remainder.

1, 2, 23, 46, 373, 746, 8579

Step-4: Factors of 17172

List of positive integer factors of 17172 that divides 17158 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 81, 106, 108, 159, 162, 212, 318, 324, 477, 636, 954, 1431, 1908, 2862, 4293, 5724, 8586

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17158 and 17172. The biggest common factor number is the GCF number.
So the greatest common factor 17158 and 17172 is 2.

Also check out the Least Common Multiple of 17158 and 17172