What is the Greatest Common Factor of 9840 and 9859?

Greatest common factor (GCF) of 9840 and 9859 is 1.

GCF(9840,9859) = 1

We will now calculate the prime factors of 9840 and 9859, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9840 and 9859.

How to find the GCF of 9840 and 9859?

We will first find the prime factorization of 9840 and 9859. After we will calculate the factors of 9840 and 9859 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 9859

Prime factors of 9859 are 9859. Prime factorization of 9859 in exponential form is:

9859 = 9859¹

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 9859

List of positive integer factors of 9859 that divides 9840 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9840 and 9859. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9859 is 1.

Also check out the Least Common Multiple of 9840 and 9859