What is the Greatest Common Factor of 56448 and 56457?

Greatest common factor (GCF) of 56448 and 56457 is 9.

GCF(56448,56457) = 9

We will now calculate the prime factors of 56448 and 56457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56448 and 56457.

How to find the GCF of 56448 and 56457?

We will first find the prime factorization of 56448 and 56457. After we will calculate the factors of 56448 and 56457 and find the biggest common factor number .

Step-1: Prime Factorization of 56448

Prime factors of 56448 are 2, 3, 7. Prime factorization of 56448 in exponential form is:

56448 = 2⁷ × 3² × 7²

Step-2: Prime Factorization of 56457

Prime factors of 56457 are 3, 17, 41. Prime factorization of 56457 in exponential form is:

56457 = 3⁴ × 17¹ × 41¹

Step-3: Factors of 56448

List of positive integer factors of 56448 that divides 56448 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 49, 56, 63, 64, 72, 84, 96, 98, 112, 126, 128, 144, 147, 168, 192, 196, 224, 252, 288, 294, 336, 384, 392, 441, 448, 504, 576, 588, 672, 784, 882, 896, 1008, 1152, 1176, 1344, 1568, 1764, 2016, 2352, 2688, 3136, 3528, 4032, 4704, 6272, 7056, 8064, 9408, 14112, 18816, 28224

Step-4: Factors of 56457

List of positive integer factors of 56457 that divides 56448 without a remainder.

1, 3, 9, 17, 27, 41, 51, 81, 123, 153, 369, 459, 697, 1107, 1377, 2091, 3321, 6273, 18819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56448 and 56457. The biggest common factor number is the GCF number.
So the greatest common factor 56448 and 56457 is 9.

Also check out the Least Common Multiple of 56448 and 56457