What is the Greatest Common Factor of 24871 and 24882?

Greatest common factor (GCF) of 24871 and 24882 is 11.

GCF(24871,24882) = 11

We will now calculate the prime factors of 24871 and 24882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24871 and 24882.

How to find the GCF of 24871 and 24882?

We will first find the prime factorization of 24871 and 24882. After we will calculate the factors of 24871 and 24882 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 24882

Prime factors of 24882 are 2, 3, 11, 13, 29. Prime factorization of 24882 in exponential form is:

24882 = 2¹ × 3¹ × 11¹ × 13¹ × 29¹

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 24882

List of positive integer factors of 24882 that divides 24871 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 29, 33, 39, 58, 66, 78, 87, 143, 174, 286, 319, 377, 429, 638, 754, 858, 957, 1131, 1914, 2262, 4147, 8294, 12441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24871 and 24882. The biggest common factor number is the GCF number.
So the greatest common factor 24871 and 24882 is 11.

Also check out the Least Common Multiple of 24871 and 24882