What is the Greatest Common Factor of 24278 and 24284?

Greatest common factor (GCF) of 24278 and 24284 is 2.

GCF(24278,24284) = 2

We will now calculate the prime factors of 24278 and 24284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24278 and 24284.

How to find the GCF of 24278 and 24284?

We will first find the prime factorization of 24278 and 24284. After we will calculate the factors of 24278 and 24284 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24284

Prime factors of 24284 are 2, 13, 467. Prime factorization of 24284 in exponential form is:

24284 = 2² × 13¹ × 467¹

Step-3: Factors of 24278

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

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

Step-4: Factors of 24284

List of positive integer factors of 24284 that divides 24278 without a remainder.

1, 2, 4, 13, 26, 52, 467, 934, 1868, 6071, 12142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24278 and 24284. The biggest common factor number is the GCF number.
So the greatest common factor 24278 and 24284 is 2.

Also check out the Least Common Multiple of 24278 and 24284