What is the Greatest Common Factor of 10496 and 10512?

Greatest common factor (GCF) of 10496 and 10512 is 16.

GCF(10496,10512) = 16

We will now calculate the prime factors of 10496 and 10512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10496 and 10512.

How to find the GCF of 10496 and 10512?

We will first find the prime factorization of 10496 and 10512. After we will calculate the factors of 10496 and 10512 and find the biggest common factor number .

Step-1: Prime Factorization of 10496

Prime factors of 10496 are 2, 41. Prime factorization of 10496 in exponential form is:

10496 = 2⁸ × 41¹

Step-2: Prime Factorization of 10512

Prime factors of 10512 are 2, 3, 73. Prime factorization of 10512 in exponential form is:

10512 = 2⁴ × 3² × 73¹

Step-3: Factors of 10496

List of positive integer factors of 10496 that divides 10496 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 656, 1312, 2624, 5248

Step-4: Factors of 10512

List of positive integer factors of 10512 that divides 10496 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 73, 144, 146, 219, 292, 438, 584, 657, 876, 1168, 1314, 1752, 2628, 3504, 5256

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10496 and 10512. The biggest common factor number is the GCF number.
So the greatest common factor 10496 and 10512 is 16.

Also check out the Least Common Multiple of 10496 and 10512