What is the Greatest Common Factor of 20366 and 20383?

Greatest common factor (GCF) of 20366 and 20383 is 17.

GCF(20366,20383) = 17

We will now calculate the prime factors of 20366 and 20383, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20366 and 20383.

How to find the GCF of 20366 and 20383?

We will first find the prime factorization of 20366 and 20383. After we will calculate the factors of 20366 and 20383 and find the biggest common factor number .

Step-1: Prime Factorization of 20366

Prime factors of 20366 are 2, 17, 599. Prime factorization of 20366 in exponential form is:

20366 = 2¹ × 17¹ × 599¹

Step-2: 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-3: Factors of 20366

List of positive integer factors of 20366 that divides 20366 without a remainder.

1, 2, 17, 34, 599, 1198, 10183

Step-4: Factors of 20383

List of positive integer factors of 20383 that divides 20366 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20366 and 20383. The biggest common factor number is the GCF number.
So the greatest common factor 20366 and 20383 is 17.

Also check out the Least Common Multiple of 20366 and 20383