What is the Greatest Common Factor of 43896 and 43908?

Greatest common factor (GCF) of 43896 and 43908 is 12.

GCF(43896,43908) = 12

We will now calculate the prime factors of 43896 and 43908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43896 and 43908.

How to find the GCF of 43896 and 43908?

We will first find the prime factorization of 43896 and 43908. After we will calculate the factors of 43896 and 43908 and find the biggest common factor number .

Step-1: Prime Factorization of 43896

Prime factors of 43896 are 2, 3, 31, 59. Prime factorization of 43896 in exponential form is:

43896 = 2³ × 3¹ × 31¹ × 59¹

Step-2: Prime Factorization of 43908

Prime factors of 43908 are 2, 3, 3659. Prime factorization of 43908 in exponential form is:

43908 = 2² × 3¹ × 3659¹

Step-3: Factors of 43896

List of positive integer factors of 43896 that divides 43896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 59, 62, 93, 118, 124, 177, 186, 236, 248, 354, 372, 472, 708, 744, 1416, 1829, 3658, 5487, 7316, 10974, 14632, 21948

Step-4: Factors of 43908

List of positive integer factors of 43908 that divides 43896 without a remainder.

1, 2, 3, 4, 6, 12, 3659, 7318, 10977, 14636, 21954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43896 and 43908. The biggest common factor number is the GCF number.
So the greatest common factor 43896 and 43908 is 12.

Also check out the Least Common Multiple of 43896 and 43908