What is the Greatest Common Factor of 24213 and 24225?

Greatest common factor (GCF) of 24213 and 24225 is 3.

GCF(24213,24225) = 3

We will now calculate the prime factors of 24213 and 24225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24213 and 24225.

How to find the GCF of 24213 and 24225?

We will first find the prime factorization of 24213 and 24225. After we will calculate the factors of 24213 and 24225 and find the biggest common factor number .

Step-1: Prime Factorization of 24213

Prime factors of 24213 are 3, 7, 1153. Prime factorization of 24213 in exponential form is:

24213 = 3¹ × 7¹ × 1153¹

Step-2: 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-3: Factors of 24213

List of positive integer factors of 24213 that divides 24213 without a remainder.

1, 3, 7, 21, 1153, 3459, 8071

Step-4: Factors of 24225

List of positive integer factors of 24225 that divides 24213 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24213 and 24225. The biggest common factor number is the GCF number.
So the greatest common factor 24213 and 24225 is 3.

Also check out the Least Common Multiple of 24213 and 24225