What is the Greatest Common Factor of 96782 and 96796?

Greatest common factor (GCF) of 96782 and 96796 is 14.

GCF(96782,96796) = 14

We will now calculate the prime factors of 96782 and 96796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96782 and 96796.

How to find the GCF of 96782 and 96796?

We will first find the prime factorization of 96782 and 96796. After we will calculate the factors of 96782 and 96796 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 96796

Prime factors of 96796 are 2, 7, 3457. Prime factorization of 96796 in exponential form is:

96796 = 2² × 7¹ × 3457¹

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 96796

List of positive integer factors of 96796 that divides 96782 without a remainder.

1, 2, 4, 7, 14, 28, 3457, 6914, 13828, 24199, 48398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96782 and 96796. The biggest common factor number is the GCF number.
So the greatest common factor 96782 and 96796 is 14.

Also check out the Least Common Multiple of 96782 and 96796