What is the Greatest Common Factor of 93945 and 93960?

Greatest common factor (GCF) of 93945 and 93960 is 15.

GCF(93945,93960) = 15

We will now calculate the prime factors of 93945 and 93960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93945 and 93960.

How to find the GCF of 93945 and 93960?

We will first find the prime factorization of 93945 and 93960. After we will calculate the factors of 93945 and 93960 and find the biggest common factor number .

Step-1: Prime Factorization of 93945

Prime factors of 93945 are 3, 5, 6263. Prime factorization of 93945 in exponential form is:

93945 = 3¹ × 5¹ × 6263¹

Step-2: 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-3: Factors of 93945

List of positive integer factors of 93945 that divides 93945 without a remainder.

1, 3, 5, 15, 6263, 18789, 31315

Step-4: Factors of 93960

List of positive integer factors of 93960 that divides 93945 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93945 and 93960. The biggest common factor number is the GCF number.
So the greatest common factor 93945 and 93960 is 15.

Also check out the Least Common Multiple of 93945 and 93960