What is the Greatest Common Factor of 25872 and 25877?

Greatest common factor (GCF) of 25872 and 25877 is 1.

GCF(25872,25877) = 1

We will now calculate the prime factors of 25872 and 25877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25872 and 25877.

How to find the GCF of 25872 and 25877?

We will first find the prime factorization of 25872 and 25877. After we will calculate the factors of 25872 and 25877 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 25877

Prime factors of 25877 are 113, 229. Prime factorization of 25877 in exponential form is:

25877 = 113¹ × 229¹

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 25877

List of positive integer factors of 25877 that divides 25872 without a remainder.

1, 113, 229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25872 and 25877. The biggest common factor number is the GCF number.
So the greatest common factor 25872 and 25877 is 1.

Also check out the Least Common Multiple of 25872 and 25877