What is the Greatest Common Factor of 20405 and 20424?

Greatest common factor (GCF) of 20405 and 20424 is 1.

GCF(20405,20424) = 1

We will now calculate the prime factors of 20405 and 20424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20405 and 20424.

How to find the GCF of 20405 and 20424?

We will first find the prime factorization of 20405 and 20424. After we will calculate the factors of 20405 and 20424 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 20424

Prime factors of 20424 are 2, 3, 23, 37. Prime factorization of 20424 in exponential form is:

20424 = 2³ × 3¹ × 23¹ × 37¹

Step-3: Factors of 20405

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

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

Step-4: Factors of 20424

List of positive integer factors of 20424 that divides 20405 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 37, 46, 69, 74, 92, 111, 138, 148, 184, 222, 276, 296, 444, 552, 851, 888, 1702, 2553, 3404, 5106, 6808, 10212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20405 and 20424. The biggest common factor number is the GCF number.
So the greatest common factor 20405 and 20424 is 1.

Also check out the Least Common Multiple of 20405 and 20424