What is the Greatest Common Factor of 56441 and 56448?

Greatest common factor (GCF) of 56441 and 56448 is 7.

GCF(56441,56448) = 7

We will now calculate the prime factors of 56441 and 56448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56441 and 56448.

How to find the GCF of 56441 and 56448?

We will first find the prime factorization of 56441 and 56448. After we will calculate the factors of 56441 and 56448 and find the biggest common factor number .

Step-1: Prime Factorization of 56441

Prime factors of 56441 are 7, 11, 733. Prime factorization of 56441 in exponential form is:

56441 = 7¹ × 11¹ × 733¹

Step-2: 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-3: Factors of 56441

List of positive integer factors of 56441 that divides 56441 without a remainder.

1, 7, 11, 77, 733, 5131, 8063

Step-4: Factors of 56448

List of positive integer factors of 56448 that divides 56441 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56441 and 56448. The biggest common factor number is the GCF number.
So the greatest common factor 56441 and 56448 is 7.

Also check out the Least Common Multiple of 56441 and 56448