What is the Greatest Common Factor of 96640 and 96658?

Greatest common factor (GCF) of 96640 and 96658 is 2.

GCF(96640,96658) = 2

We will now calculate the prime factors of 96640 and 96658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96640 and 96658.

How to find the GCF of 96640 and 96658?

We will first find the prime factorization of 96640 and 96658. After we will calculate the factors of 96640 and 96658 and find the biggest common factor number .

Step-1: Prime Factorization of 96640

Prime factors of 96640 are 2, 5, 151. Prime factorization of 96640 in exponential form is:

96640 = 2⁷ × 5¹ × 151¹

Step-2: Prime Factorization of 96658

Prime factors of 96658 are 2, 31, 1559. Prime factorization of 96658 in exponential form is:

96658 = 2¹ × 31¹ × 1559¹

Step-3: Factors of 96640

List of positive integer factors of 96640 that divides 96640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 151, 160, 302, 320, 604, 640, 755, 1208, 1510, 2416, 3020, 4832, 6040, 9664, 12080, 19328, 24160, 48320

Step-4: Factors of 96658

List of positive integer factors of 96658 that divides 96640 without a remainder.

1, 2, 31, 62, 1559, 3118, 48329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96640 and 96658. The biggest common factor number is the GCF number.
So the greatest common factor 96640 and 96658 is 2.

Also check out the Least Common Multiple of 96640 and 96658