What is the Greatest Common Factor of 20306 and 20317?

Greatest common factor (GCF) of 20306 and 20317 is 11.

GCF(20306,20317) = 11

We will now calculate the prime factors of 20306 and 20317, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20306 and 20317.

How to find the GCF of 20306 and 20317?

We will first find the prime factorization of 20306 and 20317. After we will calculate the factors of 20306 and 20317 and find the biggest common factor number .

Step-1: Prime Factorization of 20306

Prime factors of 20306 are 2, 11, 13, 71. Prime factorization of 20306 in exponential form is:

20306 = 2¹ × 11¹ × 13¹ × 71¹

Step-2: Prime Factorization of 20317

Prime factors of 20317 are 11, 1847. Prime factorization of 20317 in exponential form is:

20317 = 11¹ × 1847¹

Step-3: Factors of 20306

List of positive integer factors of 20306 that divides 20306 without a remainder.

1, 2, 11, 13, 22, 26, 71, 142, 143, 286, 781, 923, 1562, 1846, 10153

Step-4: Factors of 20317

List of positive integer factors of 20317 that divides 20306 without a remainder.

1, 11, 1847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20306 and 20317. The biggest common factor number is the GCF number.
So the greatest common factor 20306 and 20317 is 11.

Also check out the Least Common Multiple of 20306 and 20317