What is the Greatest Common Factor of 43848 and 43868?

Greatest common factor (GCF) of 43848 and 43868 is 4.

GCF(43848,43868) = 4

We will now calculate the prime factors of 43848 and 43868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43848 and 43868.

How to find the GCF of 43848 and 43868?

We will first find the prime factorization of 43848 and 43868. After we will calculate the factors of 43848 and 43868 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 43868

Prime factors of 43868 are 2, 11, 997. Prime factorization of 43868 in exponential form is:

43868 = 2² × 11¹ × 997¹

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 43868

List of positive integer factors of 43868 that divides 43848 without a remainder.

1, 2, 4, 11, 22, 44, 997, 1994, 3988, 10967, 21934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43848 and 43868. The biggest common factor number is the GCF number.
So the greatest common factor 43848 and 43868 is 4.

Also check out the Least Common Multiple of 43848 and 43868