What is the Greatest Common Factor of 93465 and 93480?

Greatest common factor (GCF) of 93465 and 93480 is 15.

GCF(93465,93480) = 15

We will now calculate the prime factors of 93465 and 93480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93465 and 93480.

How to find the GCF of 93465 and 93480?

We will first find the prime factorization of 93465 and 93480. After we will calculate the factors of 93465 and 93480 and find the biggest common factor number .

Step-1: Prime Factorization of 93465

Prime factors of 93465 are 3, 5, 31, 67. Prime factorization of 93465 in exponential form is:

93465 = 3² × 5¹ × 31¹ × 67¹

Step-2: Prime Factorization of 93480

Prime factors of 93480 are 2, 3, 5, 19, 41. Prime factorization of 93480 in exponential form is:

93480 = 2³ × 3¹ × 5¹ × 19¹ × 41¹

Step-3: Factors of 93465

List of positive integer factors of 93465 that divides 93465 without a remainder.

1, 3, 5, 9, 15, 31, 45, 67, 93, 155, 201, 279, 335, 465, 603, 1005, 1395, 2077, 3015, 6231, 10385, 18693, 31155

Step-4: Factors of 93480

List of positive integer factors of 93480 that divides 93465 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 30, 38, 40, 41, 57, 60, 76, 82, 95, 114, 120, 123, 152, 164, 190, 205, 228, 246, 285, 328, 380, 410, 456, 492, 570, 615, 760, 779, 820, 984, 1140, 1230, 1558, 1640, 2280, 2337, 2460, 3116, 3895, 4674, 4920, 6232, 7790, 9348, 11685, 15580, 18696, 23370, 31160, 46740

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93465 and 93480. The biggest common factor number is the GCF number.
So the greatest common factor 93465 and 93480 is 15.

Also check out the Least Common Multiple of 93465 and 93480