What is the Greatest Common Factor of 24271 and 24278?

Greatest common factor (GCF) of 24271 and 24278 is 1.

GCF(24271,24278) = 1

We will now calculate the prime factors of 24271 and 24278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24271 and 24278.

How to find the GCF of 24271 and 24278?

We will first find the prime factorization of 24271 and 24278. After we will calculate the factors of 24271 and 24278 and find the biggest common factor number .

Step-1: Prime Factorization of 24271

Prime factors of 24271 are 13, 1867. Prime factorization of 24271 in exponential form is:

24271 = 13¹ × 1867¹

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 24271

List of positive integer factors of 24271 that divides 24271 without a remainder.

1, 13, 1867

Step-4: Factors of 24278

List of positive integer factors of 24278 that divides 24271 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24271 and 24278. The biggest common factor number is the GCF number.
So the greatest common factor 24271 and 24278 is 1.

Also check out the Least Common Multiple of 24271 and 24278