What is the Greatest Common Factor of 17156 and 17172?

Greatest common factor (GCF) of 17156 and 17172 is 4.

GCF(17156,17172) = 4

We will now calculate the prime factors of 17156 and 17172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17156 and 17172.

How to find the GCF of 17156 and 17172?

We will first find the prime factorization of 17156 and 17172. After we will calculate the factors of 17156 and 17172 and find the biggest common factor number .

Step-1: Prime Factorization of 17156

Prime factors of 17156 are 2, 4289. Prime factorization of 17156 in exponential form is:

17156 = 2² × 4289¹

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 17156

List of positive integer factors of 17156 that divides 17156 without a remainder.

1, 2, 4, 4289, 8578

Step-4: Factors of 17172

List of positive integer factors of 17172 that divides 17156 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 17156 and 17172. The biggest common factor number is the GCF number.
So the greatest common factor 17156 and 17172 is 4.

Also check out the Least Common Multiple of 17156 and 17172