What is the Greatest Common Factor of 56434 and 56448?

Greatest common factor (GCF) of 56434 and 56448 is 14.

GCF(56434,56448) = 14

We will now calculate the prime factors of 56434 and 56448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56434 and 56448.

How to find the GCF of 56434 and 56448?

We will first find the prime factorization of 56434 and 56448. After we will calculate the factors of 56434 and 56448 and find the biggest common factor number .

Step-1: Prime Factorization of 56434

Prime factors of 56434 are 2, 7, 29, 139. Prime factorization of 56434 in exponential form is:

56434 = 2¹ × 7¹ × 29¹ × 139¹

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 56434

List of positive integer factors of 56434 that divides 56434 without a remainder.

1, 2, 7, 14, 29, 58, 139, 203, 278, 406, 973, 1946, 4031, 8062, 28217

Step-4: Factors of 56448

List of positive integer factors of 56448 that divides 56434 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 56434 and 56448. The biggest common factor number is the GCF number.
So the greatest common factor 56434 and 56448 is 14.

Also check out the Least Common Multiple of 56434 and 56448