What is the Greatest Common Factor of 43900 and 43904?

Greatest common factor (GCF) of 43900 and 43904 is 4.

GCF(43900,43904) = 4

We will now calculate the prime factors of 43900 and 43904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43900 and 43904.

How to find the GCF of 43900 and 43904?

We will first find the prime factorization of 43900 and 43904. After we will calculate the factors of 43900 and 43904 and find the biggest common factor number .

Step-1: Prime Factorization of 43900

Prime factors of 43900 are 2, 5, 439. Prime factorization of 43900 in exponential form is:

43900 = 2² × 5² × 439¹

Step-2: Prime Factorization of 43904

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

43904 = 2⁷ × 7³

Step-3: Factors of 43900

List of positive integer factors of 43900 that divides 43900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 439, 878, 1756, 2195, 4390, 8780, 10975, 21950

Step-4: Factors of 43904

List of positive integer factors of 43904 that divides 43900 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43900 and 43904. The biggest common factor number is the GCF number.
So the greatest common factor 43900 and 43904 is 4.

Also check out the Least Common Multiple of 43900 and 43904