What is the Greatest Common Factor of 24225 and 24238?

Greatest common factor (GCF) of 24225 and 24238 is 1.

GCF(24225,24238) = 1

We will now calculate the prime factors of 24225 and 24238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24225 and 24238.

How to find the GCF of 24225 and 24238?

We will first find the prime factorization of 24225 and 24238. After we will calculate the factors of 24225 and 24238 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 24238

Prime factors of 24238 are 2, 12119. Prime factorization of 24238 in exponential form is:

24238 = 2¹ × 12119¹

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 24238

List of positive integer factors of 24238 that divides 24225 without a remainder.

1, 2, 12119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24225 and 24238. The biggest common factor number is the GCF number.
So the greatest common factor 24225 and 24238 is 1.

Also check out the Least Common Multiple of 24225 and 24238