What is the Greatest Common Factor of 43896 and 43900?

Greatest common factor (GCF) of 43896 and 43900 is 4.

GCF(43896,43900) = 4

We will now calculate the prime factors of 43896 and 43900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43896 and 43900.

How to find the GCF of 43896 and 43900?

We will first find the prime factorization of 43896 and 43900. After we will calculate the factors of 43896 and 43900 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 43900

Prime factors of 43900 are 2, 5, 439. Prime factorization of 43900 in exponential form is:

43900 = 2² × 5² × 439¹

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 43900

List of positive integer factors of 43900 that divides 43896 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 439, 878, 1756, 2195, 4390, 8780, 10975, 21950

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43896 and 43900. The biggest common factor number is the GCF number.
So the greatest common factor 43896 and 43900 is 4.

Also check out the Least Common Multiple of 43896 and 43900