What is the Greatest Common Factor of 24274 and 24278?

Greatest common factor (GCF) of 24274 and 24278 is 2.

GCF(24274,24278) = 2

We will now calculate the prime factors of 24274 and 24278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24274 and 24278.

How to find the GCF of 24274 and 24278?

We will first find the prime factorization of 24274 and 24278. After we will calculate the factors of 24274 and 24278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24278

Prime factors of 24278 are 2, 61, 199. Prime factorization of 24278 in exponential form is:

24278 = 2¹ × 61¹ × 199¹

Step-3: Factors of 24274

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

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

Step-4: Factors of 24278

List of positive integer factors of 24278 that divides 24274 without a remainder.

1, 2, 61, 122, 199, 398, 12139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24274 and 24278. The biggest common factor number is the GCF number.
So the greatest common factor 24274 and 24278 is 2.

Also check out the Least Common Multiple of 24274 and 24278