What is the Greatest Common Factor of 93960 and 93966?

Greatest common factor (GCF) of 93960 and 93966 is 6.

GCF(93960,93966) = 6

We will now calculate the prime factors of 93960 and 93966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93960 and 93966.

How to find the GCF of 93960 and 93966?

We will first find the prime factorization of 93960 and 93966. After we will calculate the factors of 93960 and 93966 and find the biggest common factor number .

Step-1: Prime Factorization of 93960

Prime factors of 93960 are 2, 3, 5, 29. Prime factorization of 93960 in exponential form is:

93960 = 2³ × 3⁴ × 5¹ × 29¹

Step-2: Prime Factorization of 93966

Prime factors of 93966 are 2, 3, 15661. Prime factorization of 93966 in exponential form is:

93966 = 2¹ × 3¹ × 15661¹

Step-3: Factors of 93960

List of positive integer factors of 93960 that divides 93960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 29, 30, 36, 40, 45, 54, 58, 60, 72, 81, 87, 90, 108, 116, 120, 135, 145, 162, 174, 180, 216, 232, 261, 270, 290, 324, 348, 360, 405, 435, 522, 540, 580, 648, 696, 783, 810, 870, 1044, 1080, 1160, 1305, 1566, 1620, 1740, 2088, 2349, 2610, 3132, 3240, 3480, 3915, 4698, 5220, 6264, 7830, 9396, 10440, 11745, 15660, 18792, 23490, 31320, 46980

Step-4: Factors of 93966

List of positive integer factors of 93966 that divides 93960 without a remainder.

1, 2, 3, 6, 15661, 31322, 46983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93960 and 93966. The biggest common factor number is the GCF number.
So the greatest common factor 93960 and 93966 is 6.

Also check out the Least Common Multiple of 93960 and 93966