What is the Greatest Common Factor of 92880 and 92889?

Greatest common factor (GCF) of 92880 and 92889 is 9.

GCF(92880,92889) = 9

We will now calculate the prime factors of 92880 and 92889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92880 and 92889.

How to find the GCF of 92880 and 92889?

We will first find the prime factorization of 92880 and 92889. After we will calculate the factors of 92880 and 92889 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 92889

Prime factors of 92889 are 3, 10321. Prime factorization of 92889 in exponential form is:

92889 = 3² × 10321¹

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 92889

List of positive integer factors of 92889 that divides 92880 without a remainder.

1, 3, 9, 10321, 30963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92880 and 92889. The biggest common factor number is the GCF number.
So the greatest common factor 92880 and 92889 is 9.

Also check out the Least Common Multiple of 92880 and 92889