What is the Greatest Common Factor of 9789 and 9802?

Greatest common factor (GCF) of 9789 and 9802 is 13.

GCF(9789,9802) = 13

We will now calculate the prime factors of 9789 and 9802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9789 and 9802.

How to find the GCF of 9789 and 9802?

We will first find the prime factorization of 9789 and 9802. After we will calculate the factors of 9789 and 9802 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 9802

Prime factors of 9802 are 2, 13, 29. Prime factorization of 9802 in exponential form is:

9802 = 2¹ × 13² × 29¹

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 9802

List of positive integer factors of 9802 that divides 9789 without a remainder.

1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9789 and 9802. The biggest common factor number is the GCF number.
So the greatest common factor 9789 and 9802 is 13.

Also check out the Least Common Multiple of 9789 and 9802