What is the Greatest Common Factor of 20349 and 20366?

Greatest common factor (GCF) of 20349 and 20366 is 17.

GCF(20349,20366) = 17

We will now calculate the prime factors of 20349 and 20366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20349 and 20366.

How to find the GCF of 20349 and 20366?

We will first find the prime factorization of 20349 and 20366. After we will calculate the factors of 20349 and 20366 and find the biggest common factor number .

Step-1: Prime Factorization of 20349

Prime factors of 20349 are 3, 7, 17, 19. Prime factorization of 20349 in exponential form is:

20349 = 3² × 7¹ × 17¹ × 19¹

Step-2: 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-3: Factors of 20349

List of positive integer factors of 20349 that divides 20349 without a remainder.

1, 3, 7, 9, 17, 19, 21, 51, 57, 63, 119, 133, 153, 171, 323, 357, 399, 969, 1071, 1197, 2261, 2907, 6783

Step-4: Factors of 20366

List of positive integer factors of 20366 that divides 20349 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20349 and 20366. The biggest common factor number is the GCF number.
So the greatest common factor 20349 and 20366 is 17.

Also check out the Least Common Multiple of 20349 and 20366