What is the Greatest Common Factor of 99456 and 99463?

Greatest common factor (GCF) of 99456 and 99463 is 7.

GCF(99456,99463) = 7

We will now calculate the prime factors of 99456 and 99463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99456 and 99463.

How to find the GCF of 99456 and 99463?

We will first find the prime factorization of 99456 and 99463. After we will calculate the factors of 99456 and 99463 and find the biggest common factor number .

Step-1: Prime Factorization of 99456

Prime factors of 99456 are 2, 3, 7, 37. Prime factorization of 99456 in exponential form is:

99456 = 2⁷ × 3¹ × 7¹ × 37¹

Step-2: Prime Factorization of 99463

Prime factors of 99463 are 7, 13, 1093. Prime factorization of 99463 in exponential form is:

99463 = 7¹ × 13¹ × 1093¹

Step-3: Factors of 99456

List of positive integer factors of 99456 that divides 99456 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 64, 74, 84, 96, 111, 112, 128, 148, 168, 192, 222, 224, 259, 296, 336, 384, 444, 448, 518, 592, 672, 777, 888, 896, 1036, 1184, 1344, 1554, 1776, 2072, 2368, 2688, 3108, 3552, 4144, 4736, 6216, 7104, 8288, 12432, 14208, 16576, 24864, 33152, 49728

Step-4: Factors of 99463

List of positive integer factors of 99463 that divides 99456 without a remainder.

1, 7, 13, 91, 1093, 7651, 14209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99456 and 99463. The biggest common factor number is the GCF number.
So the greatest common factor 99456 and 99463 is 7.

Also check out the Least Common Multiple of 99456 and 99463