What is the Greatest Common Factor of 9789 and 9794?

Greatest common factor (GCF) of 9789 and 9794 is 1.

GCF(9789,9794) = 1

We will now calculate the prime factors of 9789 and 9794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9789 and 9794.

How to find the GCF of 9789 and 9794?

We will first find the prime factorization of 9789 and 9794. After we will calculate the factors of 9789 and 9794 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9794

Prime factors of 9794 are 2, 59, 83. Prime factorization of 9794 in exponential form is:

9794 = 2¹ × 59¹ × 83¹

Step-3: Factors of 9789

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

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

Step-4: Factors of 9794

List of positive integer factors of 9794 that divides 9789 without a remainder.

1, 2, 59, 83, 118, 166, 4897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9789 and 9794. The biggest common factor number is the GCF number.
So the greatest common factor 9789 and 9794 is 1.

Also check out the Least Common Multiple of 9789 and 9794