What is the Greatest Common Factor of 43456 and 43472?

Greatest common factor (GCF) of 43456 and 43472 is 16.

GCF(43456,43472) = 16

We will now calculate the prime factors of 43456 and 43472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43456 and 43472.

How to find the GCF of 43456 and 43472?

We will first find the prime factorization of 43456 and 43472. After we will calculate the factors of 43456 and 43472 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43472

Prime factors of 43472 are 2, 11, 13, 19. Prime factorization of 43472 in exponential form is:

43472 = 2⁴ × 11¹ × 13¹ × 19¹

Step-3: Factors of 43456

List of positive integer factors of 43456 that divides 43456 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

Step-4: Factors of 43472

List of positive integer factors of 43472 that divides 43456 without a remainder.

1, 2, 4, 8, 11, 13, 16, 19, 22, 26, 38, 44, 52, 76, 88, 104, 143, 152, 176, 208, 209, 247, 286, 304, 418, 494, 572, 836, 988, 1144, 1672, 1976, 2288, 2717, 3344, 3952, 5434, 10868, 21736

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43456 and 43472. The biggest common factor number is the GCF number.
So the greatest common factor 43456 and 43472 is 16.

Also check out the Least Common Multiple of 43456 and 43472