What is the Greatest Common Factor of 43382 and 43400?

Greatest common factor (GCF) of 43382 and 43400 is 2.

GCF(43382,43400) = 2

We will now calculate the prime factors of 43382 and 43400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43382 and 43400.

How to find the GCF of 43382 and 43400?

We will first find the prime factorization of 43382 and 43400. After we will calculate the factors of 43382 and 43400 and find the biggest common factor number .

Step-1: Prime Factorization of 43382

Prime factors of 43382 are 2, 109, 199. Prime factorization of 43382 in exponential form is:

43382 = 2¹ × 109¹ × 199¹

Step-2: Prime Factorization of 43400

Prime factors of 43400 are 2, 5, 7, 31. Prime factorization of 43400 in exponential form is:

43400 = 2³ × 5² × 7¹ × 31¹

Step-3: Factors of 43382

List of positive integer factors of 43382 that divides 43382 without a remainder.

1, 2, 109, 199, 218, 398, 21691

Step-4: Factors of 43400

List of positive integer factors of 43400 that divides 43382 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 31, 35, 40, 50, 56, 62, 70, 100, 124, 140, 155, 175, 200, 217, 248, 280, 310, 350, 434, 620, 700, 775, 868, 1085, 1240, 1400, 1550, 1736, 2170, 3100, 4340, 5425, 6200, 8680, 10850, 21700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43382 and 43400. The biggest common factor number is the GCF number.
So the greatest common factor 43382 and 43400 is 2.

Also check out the Least Common Multiple of 43382 and 43400