What is the Greatest Common Factor of 24244 and 24263?

Greatest common factor (GCF) of 24244 and 24263 is 19.

GCF(24244,24263) = 19

We will now calculate the prime factors of 24244 and 24263, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24244 and 24263.

How to find the GCF of 24244 and 24263?

We will first find the prime factorization of 24244 and 24263. After we will calculate the factors of 24244 and 24263 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24263

Prime factors of 24263 are 19, 1277. Prime factorization of 24263 in exponential form is:

24263 = 19¹ × 1277¹

Step-3: Factors of 24244

List of positive integer factors of 24244 that divides 24244 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

Step-4: Factors of 24263

List of positive integer factors of 24263 that divides 24244 without a remainder.

1, 19, 1277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24244 and 24263. The biggest common factor number is the GCF number.
So the greatest common factor 24244 and 24263 is 19.

Also check out the Least Common Multiple of 24244 and 24263