What is the Greatest Common Factor of 24856 and 24871?

Greatest common factor (GCF) of 24856 and 24871 is 1.

GCF(24856,24871) = 1

We will now calculate the prime factors of 24856 and 24871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24856 and 24871.

How to find the GCF of 24856 and 24871?

We will first find the prime factorization of 24856 and 24871. After we will calculate the factors of 24856 and 24871 and find the biggest common factor number .

Step-1: Prime Factorization of 24856

Prime factors of 24856 are 2, 13, 239. Prime factorization of 24856 in exponential form is:

24856 = 2³ × 13¹ × 239¹

Step-2: 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-3: Factors of 24856

List of positive integer factors of 24856 that divides 24856 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 239, 478, 956, 1912, 3107, 6214, 12428

Step-4: Factors of 24871

List of positive integer factors of 24871 that divides 24856 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24856 and 24871. The biggest common factor number is the GCF number.
So the greatest common factor 24856 and 24871 is 1.

Also check out the Least Common Multiple of 24856 and 24871