What is the Greatest Common Factor of 43904 and 43921?

Greatest common factor (GCF) of 43904 and 43921 is 1.

GCF(43904,43921) = 1

We will now calculate the prime factors of 43904 and 43921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43904 and 43921.

How to find the GCF of 43904 and 43921?

We will first find the prime factorization of 43904 and 43921. After we will calculate the factors of 43904 and 43921 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 43921

Prime factors of 43921 are 167, 263. Prime factorization of 43921 in exponential form is:

43921 = 167¹ × 263¹

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 43921

List of positive integer factors of 43921 that divides 43904 without a remainder.

1, 167, 263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43904 and 43921. The biggest common factor number is the GCF number.
So the greatest common factor 43904 and 43921 is 1.

Also check out the Least Common Multiple of 43904 and 43921