What is the Greatest Common Factor of 16233 and 16247?

Greatest common factor (GCF) of 16233 and 16247 is 7.

GCF(16233,16247) = 7

We will now calculate the prime factors of 16233 and 16247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16233 and 16247.

How to find the GCF of 16233 and 16247?

We will first find the prime factorization of 16233 and 16247. After we will calculate the factors of 16233 and 16247 and find the biggest common factor number .

Step-1: Prime Factorization of 16233

Prime factors of 16233 are 3, 7, 773. Prime factorization of 16233 in exponential form is:

16233 = 3¹ × 7¹ × 773¹

Step-2: Prime Factorization of 16247

Prime factors of 16247 are 7, 11, 211. Prime factorization of 16247 in exponential form is:

16247 = 7¹ × 11¹ × 211¹

Step-3: Factors of 16233

List of positive integer factors of 16233 that divides 16233 without a remainder.

1, 3, 7, 21, 773, 2319, 5411

Step-4: Factors of 16247

List of positive integer factors of 16247 that divides 16233 without a remainder.

1, 7, 11, 77, 211, 1477, 2321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16233 and 16247. The biggest common factor number is the GCF number.
So the greatest common factor 16233 and 16247 is 7.

Also check out the Least Common Multiple of 16233 and 16247