What is the Greatest Common Factor of 43438 and 43456?

Greatest common factor (GCF) of 43438 and 43456 is 2.

GCF(43438,43456) = 2

We will now calculate the prime factors of 43438 and 43456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43438 and 43456.

How to find the GCF of 43438 and 43456?

We will first find the prime factorization of 43438 and 43456. After we will calculate the factors of 43438 and 43456 and find the biggest common factor number .

Step-1: Prime Factorization of 43438

Prime factors of 43438 are 2, 37, 587. Prime factorization of 43438 in exponential form is:

43438 = 2¹ × 37¹ × 587¹

Step-2: Prime Factorization of 43456

Prime factors of 43456 are 2, 7, 97. Prime factorization of 43456 in exponential form is:

43456 = 2⁶ × 7¹ × 97¹

Step-3: Factors of 43438

List of positive integer factors of 43438 that divides 43438 without a remainder.

1, 2, 37, 74, 587, 1174, 21719

Step-4: Factors of 43456

List of positive integer factors of 43456 that divides 43438 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 97, 112, 194, 224, 388, 448, 679, 776, 1358, 1552, 2716, 3104, 5432, 6208, 10864, 21728

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43438 and 43456. The biggest common factor number is the GCF number.
So the greatest common factor 43438 and 43456 is 2.

Also check out the Least Common Multiple of 43438 and 43456