What is the Greatest Common Factor of 56448 and 56460?

Greatest common factor (GCF) of 56448 and 56460 is 12.

GCF(56448,56460) = 12

We will now calculate the prime factors of 56448 and 56460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56448 and 56460.

How to find the GCF of 56448 and 56460?

We will first find the prime factorization of 56448 and 56460. After we will calculate the factors of 56448 and 56460 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 56460

Prime factors of 56460 are 2, 3, 5, 941. Prime factorization of 56460 in exponential form is:

56460 = 2² × 3¹ × 5¹ × 941¹

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 56460

List of positive integer factors of 56460 that divides 56448 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 941, 1882, 2823, 3764, 4705, 5646, 9410, 11292, 14115, 18820, 28230

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56448 and 56460. The biggest common factor number is the GCF number.
So the greatest common factor 56448 and 56460 is 12.

Also check out the Least Common Multiple of 56448 and 56460