What is the Greatest Common Factor of 9790 and 9805?

Greatest common factor (GCF) of 9790 and 9805 is 5.

GCF(9790,9805) = 5

We will now calculate the prime factors of 9790 and 9805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9790 and 9805.

How to find the GCF of 9790 and 9805?

We will first find the prime factorization of 9790 and 9805. After we will calculate the factors of 9790 and 9805 and find the biggest common factor number .

Step-1: Prime Factorization of 9790

Prime factors of 9790 are 2, 5, 11, 89. Prime factorization of 9790 in exponential form is:

9790 = 2¹ × 5¹ × 11¹ × 89¹

Step-2: 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-3: Factors of 9790

List of positive integer factors of 9790 that divides 9790 without a remainder.

1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895

Step-4: Factors of 9805

List of positive integer factors of 9805 that divides 9790 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9790 and 9805. The biggest common factor number is the GCF number.
So the greatest common factor 9790 and 9805 is 5.

Also check out the Least Common Multiple of 9790 and 9805