What is the Greatest Common Factor of 43888 and 43903?

Greatest common factor (GCF) of 43888 and 43903 is 1.

GCF(43888,43903) = 1

We will now calculate the prime factors of 43888 and 43903, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43888 and 43903.

How to find the GCF of 43888 and 43903?

We will first find the prime factorization of 43888 and 43903. After we will calculate the factors of 43888 and 43903 and find the biggest common factor number .

Step-1: Prime Factorization of 43888

Prime factors of 43888 are 2, 13, 211. Prime factorization of 43888 in exponential form is:

43888 = 2⁴ × 13¹ × 211¹

Step-2: Prime Factorization of 43903

Prime factors of 43903 are 43, 1021. Prime factorization of 43903 in exponential form is:

43903 = 43¹ × 1021¹

Step-3: Factors of 43888

List of positive integer factors of 43888 that divides 43888 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 211, 422, 844, 1688, 2743, 3376, 5486, 10972, 21944

Step-4: Factors of 43903

List of positive integer factors of 43903 that divides 43888 without a remainder.

1, 43, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43888 and 43903. The biggest common factor number is the GCF number.
So the greatest common factor 43888 and 43903 is 1.

Also check out the Least Common Multiple of 43888 and 43903