What is the Greatest Common Factor of 43860 and 43872?

Greatest common factor (GCF) of 43860 and 43872 is 12.

GCF(43860,43872) = 12

We will now calculate the prime factors of 43860 and 43872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43860 and 43872.

How to find the GCF of 43860 and 43872?

We will first find the prime factorization of 43860 and 43872. After we will calculate the factors of 43860 and 43872 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43872

Prime factors of 43872 are 2, 3, 457. Prime factorization of 43872 in exponential form is:

43872 = 2⁵ × 3¹ × 457¹

Step-3: Factors of 43860

List of positive integer factors of 43860 that divides 43860 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

Step-4: Factors of 43872

List of positive integer factors of 43872 that divides 43860 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 457, 914, 1371, 1828, 2742, 3656, 5484, 7312, 10968, 14624, 21936

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43860 and 43872. The biggest common factor number is the GCF number.
So the greatest common factor 43860 and 43872 is 12.

Also check out the Least Common Multiple of 43860 and 43872