What is the Greatest Common Factor of 24256 and 24270?

Greatest common factor (GCF) of 24256 and 24270 is 2.

GCF(24256,24270) = 2

We will now calculate the prime factors of 24256 and 24270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24256 and 24270.

How to find the GCF of 24256 and 24270?

We will first find the prime factorization of 24256 and 24270. After we will calculate the factors of 24256 and 24270 and find the biggest common factor number .

Step-1: Prime Factorization of 24256

Prime factors of 24256 are 2, 379. Prime factorization of 24256 in exponential form is:

24256 = 2⁶ × 379¹

Step-2: Prime Factorization of 24270

Prime factors of 24270 are 2, 3, 5, 809. Prime factorization of 24270 in exponential form is:

24270 = 2¹ × 3¹ × 5¹ × 809¹

Step-3: Factors of 24256

List of positive integer factors of 24256 that divides 24256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 379, 758, 1516, 3032, 6064, 12128

Step-4: Factors of 24270

List of positive integer factors of 24270 that divides 24256 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 809, 1618, 2427, 4045, 4854, 8090, 12135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24256 and 24270. The biggest common factor number is the GCF number.
So the greatest common factor 24256 and 24270 is 2.

Also check out the Least Common Multiple of 24256 and 24270