What is the Greatest Common Factor of 9840 and 9855?

Greatest common factor (GCF) of 9840 and 9855 is 15.

GCF(9840,9855) = 15

We will now calculate the prime factors of 9840 and 9855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9840 and 9855.

How to find the GCF of 9840 and 9855?

We will first find the prime factorization of 9840 and 9855. After we will calculate the factors of 9840 and 9855 and find the biggest common factor number .

Step-1: Prime Factorization of 9840

Prime factors of 9840 are 2, 3, 5, 41. Prime factorization of 9840 in exponential form is:

9840 = 2⁴ × 3¹ × 5¹ × 41¹

Step-2: Prime Factorization of 9855

Prime factors of 9855 are 3, 5, 73. Prime factorization of 9855 in exponential form is:

9855 = 3³ × 5¹ × 73¹

Step-3: Factors of 9840

List of positive integer factors of 9840 that divides 9840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 41, 48, 60, 80, 82, 120, 123, 164, 205, 240, 246, 328, 410, 492, 615, 656, 820, 984, 1230, 1640, 1968, 2460, 3280, 4920

Step-4: Factors of 9855

List of positive integer factors of 9855 that divides 9840 without a remainder.

1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9840 and 9855. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9855 is 15.

Also check out the Least Common Multiple of 9840 and 9855