What is the Greatest Common Factor of 92448 and 92456?

Greatest common factor (GCF) of 92448 and 92456 is 8.

GCF(92448,92456) = 8

We will now calculate the prime factors of 92448 and 92456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92448 and 92456.

How to find the GCF of 92448 and 92456?

We will first find the prime factorization of 92448 and 92456. After we will calculate the factors of 92448 and 92456 and find the biggest common factor number .

Step-1: Prime Factorization of 92448

Prime factors of 92448 are 2, 3, 107. Prime factorization of 92448 in exponential form is:

92448 = 2⁵ × 3³ × 107¹

Step-2: Prime Factorization of 92456

Prime factors of 92456 are 2, 7, 13, 127. Prime factorization of 92456 in exponential form is:

92456 = 2³ × 7¹ × 13¹ × 127¹

Step-3: Factors of 92448

List of positive integer factors of 92448 that divides 92448 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 107, 108, 144, 214, 216, 288, 321, 428, 432, 642, 856, 864, 963, 1284, 1712, 1926, 2568, 2889, 3424, 3852, 5136, 5778, 7704, 10272, 11556, 15408, 23112, 30816, 46224

Step-4: Factors of 92456

List of positive integer factors of 92456 that divides 92448 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 127, 182, 254, 364, 508, 728, 889, 1016, 1651, 1778, 3302, 3556, 6604, 7112, 11557, 13208, 23114, 46228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92448 and 92456. The biggest common factor number is the GCF number.
So the greatest common factor 92448 and 92456 is 8.

Also check out the Least Common Multiple of 92448 and 92456