What is the Greatest Common Factor of 43848 and 43860?

Greatest common factor (GCF) of 43848 and 43860 is 12.

GCF(43848,43860) = 12

We will now calculate the prime factors of 43848 and 43860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43848 and 43860.

How to find the GCF of 43848 and 43860?

We will first find the prime factorization of 43848 and 43860. After we will calculate the factors of 43848 and 43860 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 43860

Prime factors of 43860 are 2, 3, 5, 17, 43. Prime factorization of 43860 in exponential form is:

43860 = 2² × 3¹ × 5¹ × 17¹ × 43¹

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 43860

List of positive integer factors of 43860 that divides 43848 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 43, 51, 60, 68, 85, 86, 102, 129, 170, 172, 204, 215, 255, 258, 340, 430, 510, 516, 645, 731, 860, 1020, 1290, 1462, 2193, 2580, 2924, 3655, 4386, 7310, 8772, 10965, 14620, 21930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43848 and 43860. The biggest common factor number is the GCF number.
So the greatest common factor 43848 and 43860 is 12.

Also check out the Least Common Multiple of 43848 and 43860