What is the Greatest Common Factor of 20395 and 20400?

Greatest common factor (GCF) of 20395 and 20400 is 5.

GCF(20395,20400) = 5

We will now calculate the prime factors of 20395 and 20400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20395 and 20400.

How to find the GCF of 20395 and 20400?

We will first find the prime factorization of 20395 and 20400. After we will calculate the factors of 20395 and 20400 and find the biggest common factor number .

Step-1: Prime Factorization of 20395

Prime factors of 20395 are 5, 4079. Prime factorization of 20395 in exponential form is:

20395 = 5¹ × 4079¹

Step-2: Prime Factorization of 20400

Prime factors of 20400 are 2, 3, 5, 17. Prime factorization of 20400 in exponential form is:

20400 = 2⁴ × 3¹ × 5² × 17¹

Step-3: Factors of 20395

List of positive integer factors of 20395 that divides 20395 without a remainder.

1, 5, 4079

Step-4: Factors of 20400

List of positive integer factors of 20400 that divides 20395 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 25, 30, 34, 40, 48, 50, 51, 60, 68, 75, 80, 85, 100, 102, 120, 136, 150, 170, 200, 204, 240, 255, 272, 300, 340, 400, 408, 425, 510, 600, 680, 816, 850, 1020, 1200, 1275, 1360, 1700, 2040, 2550, 3400, 4080, 5100, 6800, 10200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20395 and 20400. The biggest common factor number is the GCF number.
So the greatest common factor 20395 and 20400 is 5.

Also check out the Least Common Multiple of 20395 and 20400