What is the Greatest Common Factor of 9810 and 9820?

Greatest common factor (GCF) of 9810 and 9820 is 10.

GCF(9810,9820) = 10

We will now calculate the prime factors of 9810 and 9820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9810 and 9820.

How to find the GCF of 9810 and 9820?

We will first find the prime factorization of 9810 and 9820. After we will calculate the factors of 9810 and 9820 and find the biggest common factor number .

Step-1: Prime Factorization of 9810

Prime factors of 9810 are 2, 3, 5, 109. Prime factorization of 9810 in exponential form is:

9810 = 2¹ × 3² × 5¹ × 109¹

Step-2: Prime Factorization of 9820

Prime factors of 9820 are 2, 5, 491. Prime factorization of 9820 in exponential form is:

9820 = 2² × 5¹ × 491¹

Step-3: Factors of 9810

List of positive integer factors of 9810 that divides 9810 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 109, 218, 327, 545, 654, 981, 1090, 1635, 1962, 3270, 4905

Step-4: Factors of 9820

List of positive integer factors of 9820 that divides 9810 without a remainder.

1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9810 and 9820. The biggest common factor number is the GCF number.
So the greatest common factor 9810 and 9820 is 10.

Also check out the Least Common Multiple of 9810 and 9820