What is the Greatest Common Factor of 24272 and 24289?

Greatest common factor (GCF) of 24272 and 24289 is 1.

GCF(24272,24289) = 1

We will now calculate the prime factors of 24272 and 24289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24272 and 24289.

How to find the GCF of 24272 and 24289?

We will first find the prime factorization of 24272 and 24289. After we will calculate the factors of 24272 and 24289 and find the biggest common factor number .

Step-1: Prime Factorization of 24272

Prime factors of 24272 are 2, 37, 41. Prime factorization of 24272 in exponential form is:

24272 = 2⁴ × 37¹ × 41¹

Step-2: Prime Factorization of 24289

Prime factors of 24289 are 107, 227. Prime factorization of 24289 in exponential form is:

24289 = 107¹ × 227¹

Step-3: Factors of 24272

List of positive integer factors of 24272 that divides 24272 without a remainder.

1, 2, 4, 8, 16, 37, 41, 74, 82, 148, 164, 296, 328, 592, 656, 1517, 3034, 6068, 12136

Step-4: Factors of 24289

List of positive integer factors of 24289 that divides 24272 without a remainder.

1, 107, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24272 and 24289. The biggest common factor number is the GCF number.
So the greatest common factor 24272 and 24289 is 1.

Also check out the Least Common Multiple of 24272 and 24289