What is the Greatest Common Factor of 92874 and 92880?

Greatest common factor (GCF) of 92874 and 92880 is 6.

GCF(92874,92880) = 6

We will now calculate the prime factors of 92874 and 92880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92874 and 92880.

How to find the GCF of 92874 and 92880?

We will first find the prime factorization of 92874 and 92880. After we will calculate the factors of 92874 and 92880 and find the biggest common factor number .

Step-1: Prime Factorization of 92874

Prime factors of 92874 are 2, 3, 23, 673. Prime factorization of 92874 in exponential form is:

92874 = 2¹ × 3¹ × 23¹ × 673¹

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 92874

List of positive integer factors of 92874 that divides 92874 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 673, 1346, 2019, 4038, 15479, 30958, 46437

Step-4: Factors of 92880

List of positive integer factors of 92880 that divides 92874 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 92874 and 92880. The biggest common factor number is the GCF number.
So the greatest common factor 92874 and 92880 is 6.

Also check out the Least Common Multiple of 92874 and 92880