What is the Greatest Common Factor of 93840 and 93856?

Greatest common factor (GCF) of 93840 and 93856 is 16.

GCF(93840,93856) = 16

We will now calculate the prime factors of 93840 and 93856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93840 and 93856.

How to find the GCF of 93840 and 93856?

We will first find the prime factorization of 93840 and 93856. After we will calculate the factors of 93840 and 93856 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 93856

Prime factors of 93856 are 2, 7, 419. Prime factorization of 93856 in exponential form is:

93856 = 2⁵ × 7¹ × 419¹

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 93856

List of positive integer factors of 93856 that divides 93840 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224, 419, 838, 1676, 2933, 3352, 5866, 6704, 11732, 13408, 23464, 46928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93840 and 93856. The biggest common factor number is the GCF number.
So the greatest common factor 93840 and 93856 is 16.

Also check out the Least Common Multiple of 93840 and 93856