What is the Greatest Common Factor of 24871 and 24879?

Greatest common factor (GCF) of 24871 and 24879 is 1.

GCF(24871,24879) = 1

We will now calculate the prime factors of 24871 and 24879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24871 and 24879.

How to find the GCF of 24871 and 24879?

We will first find the prime factorization of 24871 and 24879. After we will calculate the factors of 24871 and 24879 and find the biggest common factor number .

Step-1: Prime Factorization of 24871

Prime factors of 24871 are 7, 11, 17, 19. Prime factorization of 24871 in exponential form is:

24871 = 7¹ × 11¹ × 17¹ × 19¹

Step-2: Prime Factorization of 24879

Prime factors of 24879 are 3, 8293. Prime factorization of 24879 in exponential form is:

24879 = 3¹ × 8293¹

Step-3: Factors of 24871

List of positive integer factors of 24871 that divides 24871 without a remainder.

1, 7, 11, 17, 19, 77, 119, 133, 187, 209, 323, 1309, 1463, 2261, 3553

Step-4: Factors of 24879

List of positive integer factors of 24879 that divides 24871 without a remainder.

1, 3, 8293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24871 and 24879. The biggest common factor number is the GCF number.
So the greatest common factor 24871 and 24879 is 1.

Also check out the Least Common Multiple of 24871 and 24879