What is the Greatest Common Factor of 43829 and 43848?

Greatest common factor (GCF) of 43829 and 43848 is 1.

GCF(43829,43848) = 1

We will now calculate the prime factors of 43829 and 43848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43829 and 43848.

How to find the GCF of 43829 and 43848?

We will first find the prime factorization of 43829 and 43848. After we will calculate the factors of 43829 and 43848 and find the biggest common factor number .

Step-1: Prime Factorization of 43829

Prime factors of 43829 are 41, 1069. Prime factorization of 43829 in exponential form is:

43829 = 41¹ × 1069¹

Step-2: 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-3: Factors of 43829

List of positive integer factors of 43829 that divides 43829 without a remainder.

1, 41, 1069

Step-4: Factors of 43848

List of positive integer factors of 43848 that divides 43829 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43829 and 43848. The biggest common factor number is the GCF number.
So the greatest common factor 43829 and 43848 is 1.

Also check out the Least Common Multiple of 43829 and 43848