What is the Greatest Common Factor of 96506 and 96512?

Greatest common factor (GCF) of 96506 and 96512 is 2.

GCF(96506,96512) = 2

We will now calculate the prime factors of 96506 and 96512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96506 and 96512.

How to find the GCF of 96506 and 96512?

We will first find the prime factorization of 96506 and 96512. After we will calculate the factors of 96506 and 96512 and find the biggest common factor number .

Step-1: Prime Factorization of 96506

Prime factors of 96506 are 2, 73, 661. Prime factorization of 96506 in exponential form is:

96506 = 2¹ × 73¹ × 661¹

Step-2: 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-3: Factors of 96506

List of positive integer factors of 96506 that divides 96506 without a remainder.

1, 2, 73, 146, 661, 1322, 48253

Step-4: Factors of 96512

List of positive integer factors of 96512 that divides 96506 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96506 and 96512. The biggest common factor number is the GCF number.
So the greatest common factor 96506 and 96512 is 2.

Also check out the Least Common Multiple of 96506 and 96512