What is the Greatest Common Factor of 43904 and 43923?

Greatest common factor (GCF) of 43904 and 43923 is 1.

GCF(43904,43923) = 1

We will now calculate the prime factors of 43904 and 43923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43904 and 43923.

How to find the GCF of 43904 and 43923?

We will first find the prime factorization of 43904 and 43923. After we will calculate the factors of 43904 and 43923 and find the biggest common factor number .

Step-1: Prime Factorization of 43904

Prime factors of 43904 are 2, 7. Prime factorization of 43904 in exponential form is:

43904 = 2⁷ × 7³

Step-2: Prime Factorization of 43923

Prime factors of 43923 are 3, 11. Prime factorization of 43923 in exponential form is:

43923 = 3¹ × 11⁴

Step-3: Factors of 43904

List of positive integer factors of 43904 that divides 43904 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 343, 392, 448, 686, 784, 896, 1372, 1568, 2744, 3136, 5488, 6272, 10976, 21952

Step-4: Factors of 43923

List of positive integer factors of 43923 that divides 43904 without a remainder.

1, 3, 11, 33, 121, 363, 1331, 3993, 14641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43904 and 43923. The biggest common factor number is the GCF number.
So the greatest common factor 43904 and 43923 is 1.

Also check out the Least Common Multiple of 43904 and 43923