What is the Greatest Common Factor of 96512 and 96516?

Greatest common factor (GCF) of 96512 and 96516 is 4.

GCF(96512,96516) = 4

We will now calculate the prime factors of 96512 and 96516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96512 and 96516.

How to find the GCF of 96512 and 96516?

We will first find the prime factorization of 96512 and 96516. After we will calculate the factors of 96512 and 96516 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 96516

Prime factors of 96516 are 2, 3, 7, 383. Prime factorization of 96516 in exponential form is:

96516 = 2² × 3² × 7¹ × 383¹

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 96516

List of positive integer factors of 96516 that divides 96512 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 383, 766, 1149, 1532, 2298, 2681, 3447, 4596, 5362, 6894, 8043, 10724, 13788, 16086, 24129, 32172, 48258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96512 and 96516. The biggest common factor number is the GCF number.
So the greatest common factor 96512 and 96516 is 4.

Also check out the Least Common Multiple of 96512 and 96516