What is the Greatest Common Factor of 96512 and 96518?

Greatest common factor (GCF) of 96512 and 96518 is 2.

GCF(96512,96518) = 2

We will now calculate the prime factors of 96512 and 96518, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96512 and 96518.

How to find the GCF of 96512 and 96518?

We will first find the prime factorization of 96512 and 96518. After we will calculate the factors of 96512 and 96518 and find the biggest common factor number .

Step-1: Prime Factorization of 96512

Prime factors of 96512 are 2, 13, 29. Prime factorization of 96512 in exponential form is:

96512 = 2⁸ × 13¹ × 29¹

Step-2: Prime Factorization of 96518

Prime factors of 96518 are 2, 48259. Prime factorization of 96518 in exponential form is:

96518 = 2¹ × 48259¹

Step-3: Factors of 96512

List of positive integer factors of 96512 that divides 96512 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 32, 52, 58, 64, 104, 116, 128, 208, 232, 256, 377, 416, 464, 754, 832, 928, 1508, 1664, 1856, 3016, 3328, 3712, 6032, 7424, 12064, 24128, 48256

Step-4: Factors of 96518

List of positive integer factors of 96518 that divides 96512 without a remainder.

1, 2, 48259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96512 and 96518. The biggest common factor number is the GCF number.
So the greatest common factor 96512 and 96518 is 2.

Also check out the Least Common Multiple of 96512 and 96518