What is the Greatest Common Factor of 25872 and 25884?

Greatest common factor (GCF) of 25872 and 25884 is 12.

GCF(25872,25884) = 12

We will now calculate the prime factors of 25872 and 25884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25872 and 25884.

How to find the GCF of 25872 and 25884?

We will first find the prime factorization of 25872 and 25884. After we will calculate the factors of 25872 and 25884 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 25884

Prime factors of 25884 are 2, 3, 719. Prime factorization of 25884 in exponential form is:

25884 = 2² × 3² × 719¹

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 25884

List of positive integer factors of 25884 that divides 25872 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 719, 1438, 2157, 2876, 4314, 6471, 8628, 12942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25872 and 25884. The biggest common factor number is the GCF number.
So the greatest common factor 25872 and 25884 is 12.

Also check out the Least Common Multiple of 25872 and 25884