What is the Greatest Common Factor of 23400 and 23420?

Greatest common factor (GCF) of 23400 and 23420 is 20.

GCF(23400,23420) = 20

We will now calculate the prime factors of 23400 and 23420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23400 and 23420.

How to find the GCF of 23400 and 23420?

We will first find the prime factorization of 23400 and 23420. After we will calculate the factors of 23400 and 23420 and find the biggest common factor number .

Step-1: Prime Factorization of 23400

Prime factors of 23400 are 2, 3, 5, 13. Prime factorization of 23400 in exponential form is:

23400 = 2³ × 3² × 5² × 13¹

Step-2: Prime Factorization of 23420

Prime factors of 23420 are 2, 5, 1171. Prime factorization of 23420 in exponential form is:

23420 = 2² × 5¹ × 1171¹

Step-3: Factors of 23400

List of positive integer factors of 23400 that divides 23400 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 18, 20, 24, 25, 26, 30, 36, 39, 40, 45, 50, 52, 60, 65, 72, 75, 78, 90, 100, 104, 117, 120, 130, 150, 156, 180, 195, 200, 225, 234, 260, 300, 312, 325, 360, 390, 450, 468, 520, 585, 600, 650, 780, 900, 936, 975, 1170, 1300, 1560, 1800, 1950, 2340, 2600, 2925, 3900, 4680, 5850, 7800, 11700

Step-4: Factors of 23420

List of positive integer factors of 23420 that divides 23400 without a remainder.

1, 2, 4, 5, 10, 20, 1171, 2342, 4684, 5855, 11710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23400 and 23420. The biggest common factor number is the GCF number.
So the greatest common factor 23400 and 23420 is 20.

Also check out the Least Common Multiple of 23400 and 23420