What is the Greatest Common Factor of 20383 and 20400?

Greatest common factor (GCF) of 20383 and 20400 is 17.

GCF(20383,20400) = 17

We will now calculate the prime factors of 20383 and 20400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20383 and 20400.

How to find the GCF of 20383 and 20400?

We will first find the prime factorization of 20383 and 20400. After we will calculate the factors of 20383 and 20400 and find the biggest common factor number .

Step-1: Prime Factorization of 20383

Prime factors of 20383 are 11, 17, 109. Prime factorization of 20383 in exponential form is:

20383 = 11¹ × 17¹ × 109¹

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 20383

List of positive integer factors of 20383 that divides 20383 without a remainder.

1, 11, 17, 109, 187, 1199, 1853

Step-4: Factors of 20400

List of positive integer factors of 20400 that divides 20383 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 20383 and 20400. The biggest common factor number is the GCF number.
So the greatest common factor 20383 and 20400 is 17.

Also check out the Least Common Multiple of 20383 and 20400