What is the Greatest Common Factor of 96632 and 96640?

Greatest common factor (GCF) of 96632 and 96640 is 8.

GCF(96632,96640) = 8

We will now calculate the prime factors of 96632 and 96640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96632 and 96640.

How to find the GCF of 96632 and 96640?

We will first find the prime factorization of 96632 and 96640. After we will calculate the factors of 96632 and 96640 and find the biggest common factor number .

Step-1: Prime Factorization of 96632

Prime factors of 96632 are 2, 47, 257. Prime factorization of 96632 in exponential form is:

96632 = 2³ × 47¹ × 257¹

Step-2: 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-3: Factors of 96632

List of positive integer factors of 96632 that divides 96632 without a remainder.

1, 2, 4, 8, 47, 94, 188, 257, 376, 514, 1028, 2056, 12079, 24158, 48316

Step-4: Factors of 96640

List of positive integer factors of 96640 that divides 96632 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96632 and 96640. The biggest common factor number is the GCF number.
So the greatest common factor 96632 and 96640 is 8.

Also check out the Least Common Multiple of 96632 and 96640