What is the Greatest Common Factor of 24225 and 24244?

Greatest common factor (GCF) of 24225 and 24244 is 19.

GCF(24225,24244) = 19

We will now calculate the prime factors of 24225 and 24244, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24225 and 24244.

How to find the GCF of 24225 and 24244?

We will first find the prime factorization of 24225 and 24244. After we will calculate the factors of 24225 and 24244 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 24244

Prime factors of 24244 are 2, 11, 19, 29. Prime factorization of 24244 in exponential form is:

24244 = 2² × 11¹ × 19¹ × 29¹

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 24244

List of positive integer factors of 24244 that divides 24225 without a remainder.

1, 2, 4, 11, 19, 22, 29, 38, 44, 58, 76, 116, 209, 319, 418, 551, 638, 836, 1102, 1276, 2204, 6061, 12122

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24225 and 24244. The biggest common factor number is the GCF number.
So the greatest common factor 24225 and 24244 is 19.

Also check out the Least Common Multiple of 24225 and 24244