What is the Greatest Common Factor of 9805 and 9814?

Greatest common factor (GCF) of 9805 and 9814 is 1.

GCF(9805,9814) = 1

We will now calculate the prime factors of 9805 and 9814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9805 and 9814.

How to find the GCF of 9805 and 9814?

We will first find the prime factorization of 9805 and 9814. After we will calculate the factors of 9805 and 9814 and find the biggest common factor number .

Step-1: Prime Factorization of 9805

Prime factors of 9805 are 5, 37, 53. Prime factorization of 9805 in exponential form is:

9805 = 5¹ × 37¹ × 53¹

Step-2: Prime Factorization of 9814

Prime factors of 9814 are 2, 7, 701. Prime factorization of 9814 in exponential form is:

9814 = 2¹ × 7¹ × 701¹

Step-3: Factors of 9805

List of positive integer factors of 9805 that divides 9805 without a remainder.

1, 5, 37, 53, 185, 265, 1961

Step-4: Factors of 9814

List of positive integer factors of 9814 that divides 9805 without a remainder.

1, 2, 7, 14, 701, 1402, 4907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9805 and 9814. The biggest common factor number is the GCF number.
So the greatest common factor 9805 and 9814 is 1.

Also check out the Least Common Multiple of 9805 and 9814