What is the Greatest Common Factor of 17202 and 17216?

Greatest common factor (GCF) of 17202 and 17216 is 2.

GCF(17202,17216) = 2

We will now calculate the prime factors of 17202 and 17216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17202 and 17216.

How to find the GCF of 17202 and 17216?

We will first find the prime factorization of 17202 and 17216. After we will calculate the factors of 17202 and 17216 and find the biggest common factor number .

Step-1: Prime Factorization of 17202

Prime factors of 17202 are 2, 3, 47, 61. Prime factorization of 17202 in exponential form is:

17202 = 2¹ × 3¹ × 47¹ × 61¹

Step-2: Prime Factorization of 17216

Prime factors of 17216 are 2, 269. Prime factorization of 17216 in exponential form is:

17216 = 2⁶ × 269¹

Step-3: Factors of 17202

List of positive integer factors of 17202 that divides 17202 without a remainder.

1, 2, 3, 6, 47, 61, 94, 122, 141, 183, 282, 366, 2867, 5734, 8601

Step-4: Factors of 17216

List of positive integer factors of 17216 that divides 17202 without a remainder.

1, 2, 4, 8, 16, 32, 64, 269, 538, 1076, 2152, 4304, 8608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17202 and 17216. The biggest common factor number is the GCF number.
So the greatest common factor 17202 and 17216 is 2.

Also check out the Least Common Multiple of 17202 and 17216