What is the Greatest Common Factor of 24278 and 24295?

Greatest common factor (GCF) of 24278 and 24295 is 1.

GCF(24278,24295) = 1

We will now calculate the prime factors of 24278 and 24295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24278 and 24295.

How to find the GCF of 24278 and 24295?

We will first find the prime factorization of 24278 and 24295. After we will calculate the factors of 24278 and 24295 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 24295

Prime factors of 24295 are 5, 43, 113. Prime factorization of 24295 in exponential form is:

24295 = 5¹ × 43¹ × 113¹

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 24295

List of positive integer factors of 24295 that divides 24278 without a remainder.

1, 5, 43, 113, 215, 565, 4859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24278 and 24295. The biggest common factor number is the GCF number.
So the greatest common factor 24278 and 24295 is 1.

Also check out the Least Common Multiple of 24278 and 24295