What is the Greatest Common Factor of 24271 and 24275?

Greatest common factor (GCF) of 24271 and 24275 is 1.

GCF(24271,24275) = 1

We will now calculate the prime factors of 24271 and 24275, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24271 and 24275.

How to find the GCF of 24271 and 24275?

We will first find the prime factorization of 24271 and 24275. After we will calculate the factors of 24271 and 24275 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 24275

Prime factors of 24275 are 5, 971. Prime factorization of 24275 in exponential form is:

24275 = 5² × 971¹

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 24275

List of positive integer factors of 24275 that divides 24271 without a remainder.

1, 5, 25, 971, 4855

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24271 and 24275. The biggest common factor number is the GCF number.
So the greatest common factor 24271 and 24275 is 1.

Also check out the Least Common Multiple of 24271 and 24275