What is the Greatest Common Factor of 93960 and 93972?

Greatest common factor (GCF) of 93960 and 93972 is 12.

GCF(93960,93972) = 12

We will now calculate the prime factors of 93960 and 93972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93960 and 93972.

How to find the GCF of 93960 and 93972?

We will first find the prime factorization of 93960 and 93972. After we will calculate the factors of 93960 and 93972 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 93972

Prime factors of 93972 are 2, 3, 41, 191. Prime factorization of 93972 in exponential form is:

93972 = 2² × 3¹ × 41¹ × 191¹

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 93972

List of positive integer factors of 93972 that divides 93960 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 191, 246, 382, 492, 573, 764, 1146, 2292, 7831, 15662, 23493, 31324, 46986

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93960 and 93972. The biggest common factor number is the GCF number.
So the greatest common factor 93960 and 93972 is 12.

Also check out the Least Common Multiple of 93960 and 93972