What is the Greatest Common Factor of 20400 and 20406?

Greatest common factor (GCF) of 20400 and 20406 is 6.

GCF(20400,20406) = 6

We will now calculate the prime factors of 20400 and 20406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20400 and 20406.

How to find the GCF of 20400 and 20406?

We will first find the prime factorization of 20400 and 20406. After we will calculate the factors of 20400 and 20406 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20406

Prime factors of 20406 are 2, 3, 19, 179. Prime factorization of 20406 in exponential form is:

20406 = 2¹ × 3¹ × 19¹ × 179¹

Step-3: Factors of 20400

List of positive integer factors of 20400 that divides 20400 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

Step-4: Factors of 20406

List of positive integer factors of 20406 that divides 20400 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 179, 358, 537, 1074, 3401, 6802, 10203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20400 and 20406. The biggest common factor number is the GCF number.
So the greatest common factor 20400 and 20406 is 6.

Also check out the Least Common Multiple of 20400 and 20406