What is the Greatest Common Factor of 9810 and 9827?

Greatest common factor (GCF) of 9810 and 9827 is 1.

GCF(9810,9827) = 1

We will now calculate the prime factors of 9810 and 9827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9810 and 9827.

How to find the GCF of 9810 and 9827?

We will first find the prime factorization of 9810 and 9827. After we will calculate the factors of 9810 and 9827 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 9827

Prime factors of 9827 are 31, 317. Prime factorization of 9827 in exponential form is:

9827 = 31¹ × 317¹

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 9827

List of positive integer factors of 9827 that divides 9810 without a remainder.

1, 31, 317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9810 and 9827. The biggest common factor number is the GCF number.
So the greatest common factor 9810 and 9827 is 1.

Also check out the Least Common Multiple of 9810 and 9827