What is the Greatest Common Factor of 93960 and 93967?

Greatest common factor (GCF) of 93960 and 93967 is 1.

GCF(93960,93967) = 1

We will now calculate the prime factors of 93960 and 93967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93960 and 93967.

How to find the GCF of 93960 and 93967?

We will first find the prime factorization of 93960 and 93967. After we will calculate the factors of 93960 and 93967 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 93967

Prime factors of 93967 are 93967. Prime factorization of 93967 in exponential form is:

93967 = 93967¹

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 93967

List of positive integer factors of 93967 that divides 93960 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93960 and 93967. The biggest common factor number is the GCF number.
So the greatest common factor 93960 and 93967 is 1.

Also check out the Least Common Multiple of 93960 and 93967