What is the Greatest Common Factor of 24289 and 24296?

Greatest common factor (GCF) of 24289 and 24296 is 1.

GCF(24289,24296) = 1

We will now calculate the prime factors of 24289 and 24296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24289 and 24296.

How to find the GCF of 24289 and 24296?

We will first find the prime factorization of 24289 and 24296. After we will calculate the factors of 24289 and 24296 and find the biggest common factor number .

Step-1: Prime Factorization of 24289

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

24289 = 107¹ × 227¹

Step-2: Prime Factorization of 24296

Prime factors of 24296 are 2, 3037. Prime factorization of 24296 in exponential form is:

24296 = 2³ × 3037¹

Step-3: Factors of 24289

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

1, 107, 227

Step-4: Factors of 24296

List of positive integer factors of 24296 that divides 24289 without a remainder.

1, 2, 4, 8, 3037, 6074, 12148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24289 and 24296. The biggest common factor number is the GCF number.
So the greatest common factor 24289 and 24296 is 1.

Also check out the Least Common Multiple of 24289 and 24296