What is the Greatest Common Factor of 92864 and 92880?

Greatest common factor (GCF) of 92864 and 92880 is 16.

GCF(92864,92880) = 16

We will now calculate the prime factors of 92864 and 92880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92864 and 92880.

How to find the GCF of 92864 and 92880?

We will first find the prime factorization of 92864 and 92880. After we will calculate the factors of 92864 and 92880 and find the biggest common factor number .

Step-1: Prime Factorization of 92864

Prime factors of 92864 are 2, 1451. Prime factorization of 92864 in exponential form is:

92864 = 2⁶ × 1451¹

Step-2: 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-3: Factors of 92864

List of positive integer factors of 92864 that divides 92864 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1451, 2902, 5804, 11608, 23216, 46432

Step-4: Factors of 92880

List of positive integer factors of 92880 that divides 92864 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92864 and 92880. The biggest common factor number is the GCF number.
So the greatest common factor 92864 and 92880 is 16.

Also check out the Least Common Multiple of 92864 and 92880