What is the Greatest Common Factor of 9205 and 9216?

Greatest common factor (GCF) of 9205 and 9216 is 1.

GCF(9205,9216) = 1

We will now calculate the prime factors of 9205 and 9216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9205 and 9216.

How to find the GCF of 9205 and 9216?

We will first find the prime factorization of 9205 and 9216. After we will calculate the factors of 9205 and 9216 and find the biggest common factor number .

Step-1: Prime Factorization of 9205

Prime factors of 9205 are 5, 7, 263. Prime factorization of 9205 in exponential form is:

9205 = 5¹ × 7¹ × 263¹

Step-2: Prime Factorization of 9216

Prime factors of 9216 are 2, 3. Prime factorization of 9216 in exponential form is:

9216 = 2¹⁰ × 3²

Step-3: Factors of 9205

List of positive integer factors of 9205 that divides 9205 without a remainder.

1, 5, 7, 35, 263, 1315, 1841

Step-4: Factors of 9216

List of positive integer factors of 9216 that divides 9205 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1024, 1152, 1536, 2304, 3072, 4608

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9205 and 9216. The biggest common factor number is the GCF number.
So the greatest common factor 9205 and 9216 is 1.

Also check out the Least Common Multiple of 9205 and 9216