What is the Greatest Common Factor of 9770 and 9789?

Greatest common factor (GCF) of 9770 and 9789 is 1.

GCF(9770,9789) = 1

We will now calculate the prime factors of 9770 and 9789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9770 and 9789.

How to find the GCF of 9770 and 9789?

We will first find the prime factorization of 9770 and 9789. After we will calculate the factors of 9770 and 9789 and find the biggest common factor number .

Step-1: Prime Factorization of 9770

Prime factors of 9770 are 2, 5, 977. Prime factorization of 9770 in exponential form is:

9770 = 2¹ × 5¹ × 977¹

Step-2: Prime Factorization of 9789

Prime factors of 9789 are 3, 13, 251. Prime factorization of 9789 in exponential form is:

9789 = 3¹ × 13¹ × 251¹

Step-3: Factors of 9770

List of positive integer factors of 9770 that divides 9770 without a remainder.

1, 2, 5, 10, 977, 1954, 4885

Step-4: Factors of 9789

List of positive integer factors of 9789 that divides 9770 without a remainder.

1, 3, 13, 39, 251, 753, 3263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9770 and 9789. The biggest common factor number is the GCF number.
So the greatest common factor 9770 and 9789 is 1.

Also check out the Least Common Multiple of 9770 and 9789