What is the Greatest Common Factor of 9776 and 9789?

Greatest common factor (GCF) of 9776 and 9789 is 13.

GCF(9776,9789) = 13

We will now calculate the prime factors of 9776 and 9789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9776 and 9789.

How to find the GCF of 9776 and 9789?

We will first find the prime factorization of 9776 and 9789. After we will calculate the factors of 9776 and 9789 and find the biggest common factor number .

Step-1: Prime Factorization of 9776

Prime factors of 9776 are 2, 13, 47. Prime factorization of 9776 in exponential form is:

9776 = 2⁴ × 13¹ × 47¹

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 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888

Step-4: Factors of 9789

List of positive integer factors of 9789 that divides 9776 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9776 and 9789. The biggest common factor number is the GCF number.
So the greatest common factor 9776 and 9789 is 13.

Also check out the Least Common Multiple of 9776 and 9789