What is the Greatest Common Factor of 24274 and 24290?

Greatest common factor (GCF) of 24274 and 24290 is 2.

GCF(24274,24290) = 2

We will now calculate the prime factors of 24274 and 24290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24274 and 24290.

How to find the GCF of 24274 and 24290?

We will first find the prime factorization of 24274 and 24290. After we will calculate the factors of 24274 and 24290 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 24290

Prime factors of 24290 are 2, 5, 7, 347. Prime factorization of 24290 in exponential form is:

24290 = 2¹ × 5¹ × 7¹ × 347¹

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 24290

List of positive integer factors of 24290 that divides 24274 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 347, 694, 1735, 2429, 3470, 4858, 12145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24274 and 24290. The biggest common factor number is the GCF number.
So the greatest common factor 24274 and 24290 is 2.

Also check out the Least Common Multiple of 24274 and 24290