What is the Greatest Common Factor of 43872 and 43884?

Greatest common factor (GCF) of 43872 and 43884 is 12.

GCF(43872,43884) = 12

We will now calculate the prime factors of 43872 and 43884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43872 and 43884.

How to find the GCF of 43872 and 43884?

We will first find the prime factorization of 43872 and 43884. After we will calculate the factors of 43872 and 43884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43884

Prime factors of 43884 are 2, 3, 23, 53. Prime factorization of 43884 in exponential form is:

43884 = 2² × 3² × 23¹ × 53¹

Step-3: Factors of 43872

List of positive integer factors of 43872 that divides 43872 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

Step-4: Factors of 43884

List of positive integer factors of 43884 that divides 43872 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 53, 69, 92, 106, 138, 159, 207, 212, 276, 318, 414, 477, 636, 828, 954, 1219, 1908, 2438, 3657, 4876, 7314, 10971, 14628, 21942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43872 and 43884. The biggest common factor number is the GCF number.
So the greatest common factor 43872 and 43884 is 12.

Also check out the Least Common Multiple of 43872 and 43884