What is the Greatest Common Factor of 96782 and 96798?

Greatest common factor (GCF) of 96782 and 96798 is 2.

GCF(96782,96798) = 2

We will now calculate the prime factors of 96782 and 96798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96782 and 96798.

How to find the GCF of 96782 and 96798?

We will first find the prime factorization of 96782 and 96798. After we will calculate the factors of 96782 and 96798 and find the biggest common factor number .

Step-1: Prime Factorization of 96782

Prime factors of 96782 are 2, 7, 31, 223. Prime factorization of 96782 in exponential form is:

96782 = 2¹ × 7¹ × 31¹ × 223¹

Step-2: 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-3: Factors of 96782

List of positive integer factors of 96782 that divides 96782 without a remainder.

1, 2, 7, 14, 31, 62, 217, 223, 434, 446, 1561, 3122, 6913, 13826, 48391

Step-4: Factors of 96798

List of positive integer factors of 96798 that divides 96782 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96782 and 96798. The biggest common factor number is the GCF number.
So the greatest common factor 96782 and 96798 is 2.

Also check out the Least Common Multiple of 96782 and 96798