What is the Greatest Common Factor of 23380 and 23400?

Greatest common factor (GCF) of 23380 and 23400 is 20.

GCF(23380,23400) = 20

We will now calculate the prime factors of 23380 and 23400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23380 and 23400.

How to find the GCF of 23380 and 23400?

We will first find the prime factorization of 23380 and 23400. After we will calculate the factors of 23380 and 23400 and find the biggest common factor number .

Step-1: Prime Factorization of 23380

Prime factors of 23380 are 2, 5, 7, 167. Prime factorization of 23380 in exponential form is:

23380 = 2² × 5¹ × 7¹ × 167¹

Step-2: 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-3: Factors of 23380

List of positive integer factors of 23380 that divides 23380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 167, 334, 668, 835, 1169, 1670, 2338, 3340, 4676, 5845, 11690

Step-4: Factors of 23400

List of positive integer factors of 23400 that divides 23380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23380 and 23400. The biggest common factor number is the GCF number.
So the greatest common factor 23380 and 23400 is 20.

Also check out the Least Common Multiple of 23380 and 23400