What is the Greatest Common Factor of 24289 and 24294?

Greatest common factor (GCF) of 24289 and 24294 is 1.

GCF(24289,24294) = 1

We will now calculate the prime factors of 24289 and 24294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24289 and 24294.

How to find the GCF of 24289 and 24294?

We will first find the prime factorization of 24289 and 24294. After we will calculate the factors of 24289 and 24294 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 24294

Prime factors of 24294 are 2, 3, 4049. Prime factorization of 24294 in exponential form is:

24294 = 2¹ × 3¹ × 4049¹

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 24294

List of positive integer factors of 24294 that divides 24289 without a remainder.

1, 2, 3, 6, 4049, 8098, 12147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24289 and 24294. The biggest common factor number is the GCF number.
So the greatest common factor 24289 and 24294 is 1.

Also check out the Least Common Multiple of 24289 and 24294