What is the Greatest Common Factor of 9840 and 9850?

Greatest common factor (GCF) of 9840 and 9850 is 10.

GCF(9840,9850) = 10

We will now calculate the prime factors of 9840 and 9850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9840 and 9850.

How to find the GCF of 9840 and 9850?

We will first find the prime factorization of 9840 and 9850. After we will calculate the factors of 9840 and 9850 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 9850

Prime factors of 9850 are 2, 5, 197. Prime factorization of 9850 in exponential form is:

9850 = 2¹ × 5² × 197¹

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 9850

List of positive integer factors of 9850 that divides 9840 without a remainder.

1, 2, 5, 10, 25, 50, 197, 394, 985, 1970, 4925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9840 and 9850. The biggest common factor number is the GCF number.
So the greatest common factor 9840 and 9850 is 10.

Also check out the Least Common Multiple of 9840 and 9850