What is the Greatest Common Factor of 43909 and 43928?

Greatest common factor (GCF) of 43909 and 43928 is 19.

GCF(43909,43928) = 19

We will now calculate the prime factors of 43909 and 43928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43909 and 43928.

How to find the GCF of 43909 and 43928?

We will first find the prime factorization of 43909 and 43928. After we will calculate the factors of 43909 and 43928 and find the biggest common factor number .

Step-1: Prime Factorization of 43909

Prime factors of 43909 are 19, 2311. Prime factorization of 43909 in exponential form is:

43909 = 19¹ × 2311¹

Step-2: Prime Factorization of 43928

Prime factors of 43928 are 2, 17, 19. Prime factorization of 43928 in exponential form is:

43928 = 2³ × 17² × 19¹

Step-3: Factors of 43909

List of positive integer factors of 43909 that divides 43909 without a remainder.

1, 19, 2311

Step-4: Factors of 43928

List of positive integer factors of 43928 that divides 43909 without a remainder.

1, 2, 4, 8, 17, 19, 34, 38, 68, 76, 136, 152, 289, 323, 578, 646, 1156, 1292, 2312, 2584, 5491, 10982, 21964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43909 and 43928. The biggest common factor number is the GCF number.
So the greatest common factor 43909 and 43928 is 19.

Also check out the Least Common Multiple of 43909 and 43928