What is the Greatest Common Factor of 93825 and 93840?

Greatest common factor (GCF) of 93825 and 93840 is 15.

GCF(93825,93840) = 15

We will now calculate the prime factors of 93825 and 93840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93825 and 93840.

How to find the GCF of 93825 and 93840?

We will first find the prime factorization of 93825 and 93840. After we will calculate the factors of 93825 and 93840 and find the biggest common factor number .

Step-1: Prime Factorization of 93825

Prime factors of 93825 are 3, 5, 139. Prime factorization of 93825 in exponential form is:

93825 = 3³ × 5² × 139¹

Step-2: 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-3: Factors of 93825

List of positive integer factors of 93825 that divides 93825 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 139, 225, 417, 675, 695, 1251, 2085, 3475, 3753, 6255, 10425, 18765, 31275

Step-4: Factors of 93840

List of positive integer factors of 93840 that divides 93825 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93825 and 93840. The biggest common factor number is the GCF number.
So the greatest common factor 93825 and 93840 is 15.

Also check out the Least Common Multiple of 93825 and 93840