What is the Greatest Common Factor of 96640 and 96650?

Greatest common factor (GCF) of 96640 and 96650 is 10.

GCF(96640,96650) = 10

We will now calculate the prime factors of 96640 and 96650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96640 and 96650.

How to find the GCF of 96640 and 96650?

We will first find the prime factorization of 96640 and 96650. After we will calculate the factors of 96640 and 96650 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 96650

Prime factors of 96650 are 2, 5, 1933. Prime factorization of 96650 in exponential form is:

96650 = 2¹ × 5² × 1933¹

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 96650

List of positive integer factors of 96650 that divides 96640 without a remainder.

1, 2, 5, 10, 25, 50, 1933, 3866, 9665, 19330, 48325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96640 and 96650. The biggest common factor number is the GCF number.
So the greatest common factor 96640 and 96650 is 10.

Also check out the Least Common Multiple of 96640 and 96650