What is the Greatest Common Factor of 96764 and 96782?

Greatest common factor (GCF) of 96764 and 96782 is 2.

GCF(96764,96782) = 2

We will now calculate the prime factors of 96764 and 96782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96764 and 96782.

How to find the GCF of 96764 and 96782?

We will first find the prime factorization of 96764 and 96782. After we will calculate the factors of 96764 and 96782 and find the biggest common factor number .

Step-1: Prime Factorization of 96764

Prime factors of 96764 are 2, 17, 1423. Prime factorization of 96764 in exponential form is:

96764 = 2² × 17¹ × 1423¹

Step-2: 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-3: Factors of 96764

List of positive integer factors of 96764 that divides 96764 without a remainder.

1, 2, 4, 17, 34, 68, 1423, 2846, 5692, 24191, 48382

Step-4: Factors of 96782

List of positive integer factors of 96782 that divides 96764 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96764 and 96782. The biggest common factor number is the GCF number.
So the greatest common factor 96764 and 96782 is 2.

Also check out the Least Common Multiple of 96764 and 96782