What is the Greatest Common Factor of 56448 and 56462?

Greatest common factor (GCF) of 56448 and 56462 is 14.

GCF(56448,56462) = 14

We will now calculate the prime factors of 56448 and 56462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56448 and 56462.

How to find the GCF of 56448 and 56462?

We will first find the prime factorization of 56448 and 56462. After we will calculate the factors of 56448 and 56462 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 56462

Prime factors of 56462 are 2, 7, 37, 109. Prime factorization of 56462 in exponential form is:

56462 = 2¹ × 7¹ × 37¹ × 109¹

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 56462

List of positive integer factors of 56462 that divides 56448 without a remainder.

1, 2, 7, 14, 37, 74, 109, 218, 259, 518, 763, 1526, 4033, 8066, 28231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56448 and 56462. The biggest common factor number is the GCF number.
So the greatest common factor 56448 and 56462 is 14.

Also check out the Least Common Multiple of 56448 and 56462