What is the Greatest Common Factor of 93840 and 93855?

Greatest common factor (GCF) of 93840 and 93855 is 15.

GCF(93840,93855) = 15

We will now calculate the prime factors of 93840 and 93855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93840 and 93855.

How to find the GCF of 93840 and 93855?

We will first find the prime factorization of 93840 and 93855. After we will calculate the factors of 93840 and 93855 and find the biggest common factor number .

Step-1: Prime Factorization of 93840

Prime factors of 93840 are 2, 3, 5, 17, 23. Prime factorization of 93840 in exponential form is:

93840 = 2⁴ × 3¹ × 5¹ × 17¹ × 23¹

Step-2: Prime Factorization of 93855

Prime factors of 93855 are 3, 5, 6257. Prime factorization of 93855 in exponential form is:

93855 = 3¹ × 5¹ × 6257¹

Step-3: Factors of 93840

List of positive integer factors of 93840 that divides 93840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 23, 24, 30, 34, 40, 46, 48, 51, 60, 68, 69, 80, 85, 92, 102, 115, 120, 136, 138, 170, 184, 204, 230, 240, 255, 272, 276, 340, 345, 368, 391, 408, 460, 510, 552, 680, 690, 782, 816, 920, 1020, 1104, 1173, 1360, 1380, 1564, 1840, 1955, 2040, 2346, 2760, 3128, 3910, 4080, 4692, 5520, 5865, 6256, 7820, 9384, 11730, 15640, 18768, 23460, 31280, 46920

Step-4: Factors of 93855

List of positive integer factors of 93855 that divides 93840 without a remainder.

1, 3, 5, 15, 6257, 18771, 31285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93840 and 93855. The biggest common factor number is the GCF number.
So the greatest common factor 93840 and 93855 is 15.

Also check out the Least Common Multiple of 93840 and 93855