What is the Greatest Common Factor of 24225 and 24233?

Greatest common factor (GCF) of 24225 and 24233 is 1.

GCF(24225,24233) = 1

We will now calculate the prime factors of 24225 and 24233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24225 and 24233.

How to find the GCF of 24225 and 24233?

We will first find the prime factorization of 24225 and 24233. After we will calculate the factors of 24225 and 24233 and find the biggest common factor number .

Step-1: Prime Factorization of 24225

Prime factors of 24225 are 3, 5, 17, 19. Prime factorization of 24225 in exponential form is:

24225 = 3¹ × 5² × 17¹ × 19¹

Step-2: Prime Factorization of 24233

Prime factors of 24233 are 11, 2203. Prime factorization of 24233 in exponential form is:

24233 = 11¹ × 2203¹

Step-3: Factors of 24225

List of positive integer factors of 24225 that divides 24225 without a remainder.

1, 3, 5, 15, 17, 19, 25, 51, 57, 75, 85, 95, 255, 285, 323, 425, 475, 969, 1275, 1425, 1615, 4845, 8075

Step-4: Factors of 24233

List of positive integer factors of 24233 that divides 24225 without a remainder.

1, 11, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24225 and 24233. The biggest common factor number is the GCF number.
So the greatest common factor 24225 and 24233 is 1.

Also check out the Least Common Multiple of 24225 and 24233