What is the Greatest Common Factor of 43442 and 43456?

Greatest common factor (GCF) of 43442 and 43456 is 14.

GCF(43442,43456) = 14

We will now calculate the prime factors of 43442 and 43456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43442 and 43456.

How to find the GCF of 43442 and 43456?

We will first find the prime factorization of 43442 and 43456. After we will calculate the factors of 43442 and 43456 and find the biggest common factor number .

Step-1: Prime Factorization of 43442

Prime factors of 43442 are 2, 7, 29, 107. Prime factorization of 43442 in exponential form is:

43442 = 2¹ × 7¹ × 29¹ × 107¹

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 43442

List of positive integer factors of 43442 that divides 43442 without a remainder.

1, 2, 7, 14, 29, 58, 107, 203, 214, 406, 749, 1498, 3103, 6206, 21721

Step-4: Factors of 43456

List of positive integer factors of 43456 that divides 43442 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 43442 and 43456. The biggest common factor number is the GCF number.
So the greatest common factor 43442 and 43456 is 14.

Also check out the Least Common Multiple of 43442 and 43456