What is the Greatest Common Factor of 17216 and 17228?

Greatest common factor (GCF) of 17216 and 17228 is 4.

GCF(17216,17228) = 4

We will now calculate the prime factors of 17216 and 17228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17216 and 17228.

How to find the GCF of 17216 and 17228?

We will first find the prime factorization of 17216 and 17228. After we will calculate the factors of 17216 and 17228 and find the biggest common factor number .

Step-1: Prime Factorization of 17216

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

17216 = 2⁶ × 269¹

Step-2: Prime Factorization of 17228

Prime factors of 17228 are 2, 59, 73. Prime factorization of 17228 in exponential form is:

17228 = 2² × 59¹ × 73¹

Step-3: Factors of 17216

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

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

Step-4: Factors of 17228

List of positive integer factors of 17228 that divides 17216 without a remainder.

1, 2, 4, 59, 73, 118, 146, 236, 292, 4307, 8614

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17216 and 17228. The biggest common factor number is the GCF number.
So the greatest common factor 17216 and 17228 is 4.

Also check out the Least Common Multiple of 17216 and 17228