What is the Greatest Common Factor of 43848 and 43856?

Greatest common factor (GCF) of 43848 and 43856 is 8.

GCF(43848,43856) = 8

We will now calculate the prime factors of 43848 and 43856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43848 and 43856.

How to find the GCF of 43848 and 43856?

We will first find the prime factorization of 43848 and 43856. After we will calculate the factors of 43848 and 43856 and find the biggest common factor number .

Step-1: Prime Factorization of 43848

Prime factors of 43848 are 2, 3, 7, 29. Prime factorization of 43848 in exponential form is:

43848 = 2³ × 3³ × 7¹ × 29¹

Step-2: Prime Factorization of 43856

Prime factors of 43856 are 2, 2741. Prime factorization of 43856 in exponential form is:

43856 = 2⁴ × 2741¹

Step-3: Factors of 43848

List of positive integer factors of 43848 that divides 43848 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 29, 36, 42, 54, 56, 58, 63, 72, 84, 87, 108, 116, 126, 168, 174, 189, 203, 216, 232, 252, 261, 348, 378, 406, 504, 522, 609, 696, 756, 783, 812, 1044, 1218, 1512, 1566, 1624, 1827, 2088, 2436, 3132, 3654, 4872, 5481, 6264, 7308, 10962, 14616, 21924

Step-4: Factors of 43856

List of positive integer factors of 43856 that divides 43848 without a remainder.

1, 2, 4, 8, 16, 2741, 5482, 10964, 21928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43848 and 43856. The biggest common factor number is the GCF number.
So the greatest common factor 43848 and 43856 is 8.

Also check out the Least Common Multiple of 43848 and 43856