What is the Greatest Common Factor of 16233 and 16253?

Greatest common factor (GCF) of 16233 and 16253 is 1.

GCF(16233,16253) = 1

We will now calculate the prime factors of 16233 and 16253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16233 and 16253.

How to find the GCF of 16233 and 16253?

We will first find the prime factorization of 16233 and 16253. After we will calculate the factors of 16233 and 16253 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 16253

Prime factors of 16253 are 16253. Prime factorization of 16253 in exponential form is:

16253 = 16253¹

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 16253

List of positive integer factors of 16253 that divides 16233 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16233 and 16253. The biggest common factor number is the GCF number.
So the greatest common factor 16233 and 16253 is 1.

Also check out the Least Common Multiple of 16233 and 16253