What is the Greatest Common Factor of 43904 and 43915?

Greatest common factor (GCF) of 43904 and 43915 is 1.

GCF(43904,43915) = 1

We will now calculate the prime factors of 43904 and 43915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43904 and 43915.

How to find the GCF of 43904 and 43915?

We will first find the prime factorization of 43904 and 43915. After we will calculate the factors of 43904 and 43915 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 43915

Prime factors of 43915 are 5, 8783. Prime factorization of 43915 in exponential form is:

43915 = 5¹ × 8783¹

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 43915

List of positive integer factors of 43915 that divides 43904 without a remainder.

1, 5, 8783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43904 and 43915. The biggest common factor number is the GCF number.
So the greatest common factor 43904 and 43915 is 1.

Also check out the Least Common Multiple of 43904 and 43915