What is the Greatest Common Factor of 93960 and 93970?

Greatest common factor (GCF) of 93960 and 93970 is 10.

GCF(93960,93970) = 10

We will now calculate the prime factors of 93960 and 93970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93960 and 93970.

How to find the GCF of 93960 and 93970?

We will first find the prime factorization of 93960 and 93970. After we will calculate the factors of 93960 and 93970 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 93970

Prime factors of 93970 are 2, 5, 9397. Prime factorization of 93970 in exponential form is:

93970 = 2¹ × 5¹ × 9397¹

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 93970

List of positive integer factors of 93970 that divides 93960 without a remainder.

1, 2, 5, 10, 9397, 18794, 46985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93960 and 93970. The biggest common factor number is the GCF number.
So the greatest common factor 93960 and 93970 is 10.

Also check out the Least Common Multiple of 93960 and 93970