What is the Greatest Common Factor of 9827 and 9845?

Greatest common factor (GCF) of 9827 and 9845 is 1.

GCF(9827,9845) = 1

We will now calculate the prime factors of 9827 and 9845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9827 and 9845.

How to find the GCF of 9827 and 9845?

We will first find the prime factorization of 9827 and 9845. After we will calculate the factors of 9827 and 9845 and find the biggest common factor number .

Step-1: Prime Factorization of 9827

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

9827 = 31¹ × 317¹

Step-2: Prime Factorization of 9845

Prime factors of 9845 are 5, 11, 179. Prime factorization of 9845 in exponential form is:

9845 = 5¹ × 11¹ × 179¹

Step-3: Factors of 9827

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

1, 31, 317

Step-4: Factors of 9845

List of positive integer factors of 9845 that divides 9827 without a remainder.

1, 5, 11, 55, 179, 895, 1969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9827 and 9845. The biggest common factor number is the GCF number.
So the greatest common factor 9827 and 9845 is 1.

Also check out the Least Common Multiple of 9827 and 9845