What is the Greatest Common Factor of 43848 and 43864?

Greatest common factor (GCF) of 43848 and 43864 is 8.

GCF(43848,43864) = 8

We will now calculate the prime factors of 43848 and 43864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43848 and 43864.

How to find the GCF of 43848 and 43864?

We will first find the prime factorization of 43848 and 43864. After we will calculate the factors of 43848 and 43864 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 43864

Prime factors of 43864 are 2, 5483. Prime factorization of 43864 in exponential form is:

43864 = 2³ × 5483¹

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 43864

List of positive integer factors of 43864 that divides 43848 without a remainder.

1, 2, 4, 8, 5483, 10966, 21932

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43848 and 43864. The biggest common factor number is the GCF number.
So the greatest common factor 43848 and 43864 is 8.

Also check out the Least Common Multiple of 43848 and 43864