What is the Greatest Common Factor of 24882 and 24893?

Greatest common factor (GCF) of 24882 and 24893 is 11.

GCF(24882,24893) = 11

We will now calculate the prime factors of 24882 and 24893, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24882 and 24893.

How to find the GCF of 24882 and 24893?

We will first find the prime factorization of 24882 and 24893. After we will calculate the factors of 24882 and 24893 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24893

Prime factors of 24893 are 11, 31, 73. Prime factorization of 24893 in exponential form is:

24893 = 11¹ × 31¹ × 73¹

Step-3: Factors of 24882

List of positive integer factors of 24882 that divides 24882 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

Step-4: Factors of 24893

List of positive integer factors of 24893 that divides 24882 without a remainder.

1, 11, 31, 73, 341, 803, 2263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24882 and 24893. The biggest common factor number is the GCF number.
So the greatest common factor 24882 and 24893 is 11.

Also check out the Least Common Multiple of 24882 and 24893