What is the Greatest Common Factor of 92880 and 92896?

Greatest common factor (GCF) of 92880 and 92896 is 16.

GCF(92880,92896) = 16

We will now calculate the prime factors of 92880 and 92896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92880 and 92896.

How to find the GCF of 92880 and 92896?

We will first find the prime factorization of 92880 and 92896. After we will calculate the factors of 92880 and 92896 and find the biggest common factor number .

Step-1: Prime Factorization of 92880

Prime factors of 92880 are 2, 3, 5, 43. Prime factorization of 92880 in exponential form is:

92880 = 2⁴ × 3³ × 5¹ × 43¹

Step-2: Prime Factorization of 92896

Prime factors of 92896 are 2, 2903. Prime factorization of 92896 in exponential form is:

92896 = 2⁵ × 2903¹

Step-3: Factors of 92880

List of positive integer factors of 92880 that divides 92880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 43, 45, 48, 54, 60, 72, 80, 86, 90, 108, 120, 129, 135, 144, 172, 180, 215, 216, 240, 258, 270, 344, 360, 387, 430, 432, 516, 540, 645, 688, 720, 774, 860, 1032, 1080, 1161, 1290, 1548, 1720, 1935, 2064, 2160, 2322, 2580, 3096, 3440, 3870, 4644, 5160, 5805, 6192, 7740, 9288, 10320, 11610, 15480, 18576, 23220, 30960, 46440

Step-4: Factors of 92896

List of positive integer factors of 92896 that divides 92880 without a remainder.

1, 2, 4, 8, 16, 32, 2903, 5806, 11612, 23224, 46448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92880 and 92896. The biggest common factor number is the GCF number.
So the greatest common factor 92880 and 92896 is 16.

Also check out the Least Common Multiple of 92880 and 92896