What is the Greatest Common Factor of 24270 and 24274?

Greatest common factor (GCF) of 24270 and 24274 is 2.

GCF(24270,24274) = 2

We will now calculate the prime factors of 24270 and 24274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24270 and 24274.

How to find the GCF of 24270 and 24274?

We will first find the prime factorization of 24270 and 24274. After we will calculate the factors of 24270 and 24274 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24274

Prime factors of 24274 are 2, 53, 229. Prime factorization of 24274 in exponential form is:

24274 = 2¹ × 53¹ × 229¹

Step-3: Factors of 24270

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

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

Step-4: Factors of 24274

List of positive integer factors of 24274 that divides 24270 without a remainder.

1, 2, 53, 106, 229, 458, 12137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24270 and 24274. The biggest common factor number is the GCF number.
So the greatest common factor 24270 and 24274 is 2.

Also check out the Least Common Multiple of 24270 and 24274