What is the Greatest Common Factor of 43400 and 43414?

Greatest common factor (GCF) of 43400 and 43414 is 14.

GCF(43400,43414) = 14

We will now calculate the prime factors of 43400 and 43414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43400 and 43414.

How to find the GCF of 43400 and 43414?

We will first find the prime factorization of 43400 and 43414. After we will calculate the factors of 43400 and 43414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43414

Prime factors of 43414 are 2, 7, 443. Prime factorization of 43414 in exponential form is:

43414 = 2¹ × 7² × 443¹

Step-3: Factors of 43400

List of positive integer factors of 43400 that divides 43400 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

Step-4: Factors of 43414

List of positive integer factors of 43414 that divides 43400 without a remainder.

1, 2, 7, 14, 49, 98, 443, 886, 3101, 6202, 21707

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43400 and 43414. The biggest common factor number is the GCF number.
So the greatest common factor 43400 and 43414 is 14.

Also check out the Least Common Multiple of 43400 and 43414