What is the Greatest Common Factor of 96496 and 96511?

Greatest common factor (GCF) of 96496 and 96511 is 1.

GCF(96496,96511) = 1

We will now calculate the prime factors of 96496 and 96511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96496 and 96511.

How to find the GCF of 96496 and 96511?

We will first find the prime factorization of 96496 and 96511. After we will calculate the factors of 96496 and 96511 and find the biggest common factor number .

Step-1: Prime Factorization of 96496

Prime factors of 96496 are 2, 37, 163. Prime factorization of 96496 in exponential form is:

96496 = 2⁴ × 37¹ × 163¹

Step-2: Prime Factorization of 96511

Prime factors of 96511 are 103, 937. Prime factorization of 96511 in exponential form is:

96511 = 103¹ × 937¹

Step-3: Factors of 96496

List of positive integer factors of 96496 that divides 96496 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 163, 296, 326, 592, 652, 1304, 2608, 6031, 12062, 24124, 48248

Step-4: Factors of 96511

List of positive integer factors of 96511 that divides 96496 without a remainder.

1, 103, 937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96496 and 96511. The biggest common factor number is the GCF number.
So the greatest common factor 96496 and 96511 is 1.

Also check out the Least Common Multiple of 96496 and 96511