What is the Greatest Common Factor of 96798 and 96811?

Greatest common factor (GCF) of 96798 and 96811 is 13.

GCF(96798,96811) = 13

We will now calculate the prime factors of 96798 and 96811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96798 and 96811.

How to find the GCF of 96798 and 96811?

We will first find the prime factorization of 96798 and 96811. After we will calculate the factors of 96798 and 96811 and find the biggest common factor number .

Step-1: Prime Factorization of 96798

Prime factors of 96798 are 2, 3, 13, 17, 73. Prime factorization of 96798 in exponential form is:

96798 = 2¹ × 3¹ × 13¹ × 17¹ × 73¹

Step-2: Prime Factorization of 96811

Prime factors of 96811 are 11, 13, 677. Prime factorization of 96811 in exponential form is:

96811 = 11¹ × 13¹ × 677¹

Step-3: Factors of 96798

List of positive integer factors of 96798 that divides 96798 without a remainder.

1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 73, 78, 102, 146, 219, 221, 438, 442, 663, 949, 1241, 1326, 1898, 2482, 2847, 3723, 5694, 7446, 16133, 32266, 48399

Step-4: Factors of 96811

List of positive integer factors of 96811 that divides 96798 without a remainder.

1, 11, 13, 143, 677, 7447, 8801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96798 and 96811. The biggest common factor number is the GCF number.
So the greatest common factor 96798 and 96811 is 13.

Also check out the Least Common Multiple of 96798 and 96811