What is the Greatest Common Factor of 25872 and 25886?

Greatest common factor (GCF) of 25872 and 25886 is 14.

GCF(25872,25886) = 14

We will now calculate the prime factors of 25872 and 25886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25872 and 25886.

How to find the GCF of 25872 and 25886?

We will first find the prime factorization of 25872 and 25886. After we will calculate the factors of 25872 and 25886 and find the biggest common factor number .

Step-1: Prime Factorization of 25872

Prime factors of 25872 are 2, 3, 7, 11. Prime factorization of 25872 in exponential form is:

25872 = 2⁴ × 3¹ × 7² × 11¹

Step-2: Prime Factorization of 25886

Prime factors of 25886 are 2, 7, 43. Prime factorization of 25886 in exponential form is:

25886 = 2¹ × 7¹ × 43²

Step-3: Factors of 25872

List of positive integer factors of 25872 that divides 25872 without a remainder.

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 49, 56, 66, 77, 84, 88, 98, 112, 132, 147, 154, 168, 176, 196, 231, 264, 294, 308, 336, 392, 462, 528, 539, 588, 616, 784, 924, 1078, 1176, 1232, 1617, 1848, 2156, 2352, 3234, 3696, 4312, 6468, 8624, 12936

Step-4: Factors of 25886

List of positive integer factors of 25886 that divides 25872 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602, 1849, 3698, 12943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25872 and 25886. The biggest common factor number is the GCF number.
So the greatest common factor 25872 and 25886 is 14.

Also check out the Least Common Multiple of 25872 and 25886