What is the Greatest Common Factor of 93840 and 93849?

Greatest common factor (GCF) of 93840 and 93849 is 3.

GCF(93840,93849) = 3

We will now calculate the prime factors of 93840 and 93849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93840 and 93849.

How to find the GCF of 93840 and 93849?

We will first find the prime factorization of 93840 and 93849. After we will calculate the factors of 93840 and 93849 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 93849

Prime factors of 93849 are 3, 7, 41, 109. Prime factorization of 93849 in exponential form is:

93849 = 3¹ × 7¹ × 41¹ × 109¹

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 93849

List of positive integer factors of 93849 that divides 93840 without a remainder.

1, 3, 7, 21, 41, 109, 123, 287, 327, 763, 861, 2289, 4469, 13407, 31283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93840 and 93849. The biggest common factor number is the GCF number.
So the greatest common factor 93840 and 93849 is 3.

Also check out the Least Common Multiple of 93840 and 93849