What is the Greatest Common Factor of 93831 and 93840?

Greatest common factor (GCF) of 93831 and 93840 is 3.

GCF(93831,93840) = 3

We will now calculate the prime factors of 93831 and 93840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93831 and 93840.

How to find the GCF of 93831 and 93840?

We will first find the prime factorization of 93831 and 93840. After we will calculate the factors of 93831 and 93840 and find the biggest common factor number .

Step-1: Prime Factorization of 93831

Prime factors of 93831 are 3, 31277. Prime factorization of 93831 in exponential form is:

93831 = 3¹ × 31277¹

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 93831

List of positive integer factors of 93831 that divides 93831 without a remainder.

1, 3, 31277

Step-4: Factors of 93840

List of positive integer factors of 93840 that divides 93831 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 93831 and 93840. The biggest common factor number is the GCF number.
So the greatest common factor 93831 and 93840 is 3.

Also check out the Least Common Multiple of 93831 and 93840