What is the Greatest Common Factor of 43872 and 43876?

Greatest common factor (GCF) of 43872 and 43876 is 4.

GCF(43872,43876) = 4

We will now calculate the prime factors of 43872 and 43876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43872 and 43876.

How to find the GCF of 43872 and 43876?

We will first find the prime factorization of 43872 and 43876. After we will calculate the factors of 43872 and 43876 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 43876

Prime factors of 43876 are 2, 7, 1567. Prime factorization of 43876 in exponential form is:

43876 = 2² × 7¹ × 1567¹

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 43876

List of positive integer factors of 43876 that divides 43872 without a remainder.

1, 2, 4, 7, 14, 28, 1567, 3134, 6268, 10969, 21938

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43872 and 43876. The biggest common factor number is the GCF number.
So the greatest common factor 43872 and 43876 is 4.

Also check out the Least Common Multiple of 43872 and 43876