What is the Greatest Common Factor of 20394 and 20405?

Greatest common factor (GCF) of 20394 and 20405 is 11.

GCF(20394,20405) = 11

We will now calculate the prime factors of 20394 and 20405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20394 and 20405.

How to find the GCF of 20394 and 20405?

We will first find the prime factorization of 20394 and 20405. After we will calculate the factors of 20394 and 20405 and find the biggest common factor number .

Step-1: Prime Factorization of 20394

Prime factors of 20394 are 2, 3, 11, 103. Prime factorization of 20394 in exponential form is:

20394 = 2¹ × 3² × 11¹ × 103¹

Step-2: Prime Factorization of 20405

Prime factors of 20405 are 5, 7, 11, 53. Prime factorization of 20405 in exponential form is:

20405 = 5¹ × 7¹ × 11¹ × 53¹

Step-3: Factors of 20394

List of positive integer factors of 20394 that divides 20394 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 103, 198, 206, 309, 618, 927, 1133, 1854, 2266, 3399, 6798, 10197

Step-4: Factors of 20405

List of positive integer factors of 20405 that divides 20394 without a remainder.

1, 5, 7, 11, 35, 53, 55, 77, 265, 371, 385, 583, 1855, 2915, 4081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20394 and 20405. The biggest common factor number is the GCF number.
So the greatest common factor 20394 and 20405 is 11.

Also check out the Least Common Multiple of 20394 and 20405