What is the Greatest Common Factor of 43400 and 43420?

Greatest common factor (GCF) of 43400 and 43420 is 20.

GCF(43400,43420) = 20

We will now calculate the prime factors of 43400 and 43420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43400 and 43420.

How to find the GCF of 43400 and 43420?

We will first find the prime factorization of 43400 and 43420. After we will calculate the factors of 43400 and 43420 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 43420

Prime factors of 43420 are 2, 5, 13, 167. Prime factorization of 43420 in exponential form is:

43420 = 2² × 5¹ × 13¹ × 167¹

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 43420

List of positive integer factors of 43420 that divides 43400 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 167, 260, 334, 668, 835, 1670, 2171, 3340, 4342, 8684, 10855, 21710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43400 and 43420. The biggest common factor number is the GCF number.
So the greatest common factor 43400 and 43420 is 20.

Also check out the Least Common Multiple of 43400 and 43420