What is the Greatest Common Factor of 43928 and 43945?

Greatest common factor (GCF) of 43928 and 43945 is 17.

GCF(43928,43945) = 17

We will now calculate the prime factors of 43928 and 43945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43928 and 43945.

How to find the GCF of 43928 and 43945?

We will first find the prime factorization of 43928 and 43945. After we will calculate the factors of 43928 and 43945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43945

Prime factors of 43945 are 5, 11, 17, 47. Prime factorization of 43945 in exponential form is:

43945 = 5¹ × 11¹ × 17¹ × 47¹

Step-3: Factors of 43928

List of positive integer factors of 43928 that divides 43928 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

Step-4: Factors of 43945

List of positive integer factors of 43945 that divides 43928 without a remainder.

1, 5, 11, 17, 47, 55, 85, 187, 235, 517, 799, 935, 2585, 3995, 8789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43928 and 43945. The biggest common factor number is the GCF number.
So the greatest common factor 43928 and 43945 is 17.

Also check out the Least Common Multiple of 43928 and 43945