What is the Greatest Common Factor of 20493 and 20505?

Greatest common factor (GCF) of 20493 and 20505 is 3.

GCF(20493,20505) = 3

We will now calculate the prime factors of 20493 and 20505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20493 and 20505.

How to find the GCF of 20493 and 20505?

We will first find the prime factorization of 20493 and 20505. After we will calculate the factors of 20493 and 20505 and find the biggest common factor number .

Step-1: Prime Factorization of 20493

Prime factors of 20493 are 3, 11, 23. Prime factorization of 20493 in exponential form is:

20493 = 3⁴ × 11¹ × 23¹

Step-2: Prime Factorization of 20505

Prime factors of 20505 are 3, 5, 1367. Prime factorization of 20505 in exponential form is:

20505 = 3¹ × 5¹ × 1367¹

Step-3: Factors of 20493

List of positive integer factors of 20493 that divides 20493 without a remainder.

1, 3, 9, 11, 23, 27, 33, 69, 81, 99, 207, 253, 297, 621, 759, 891, 1863, 2277, 6831

Step-4: Factors of 20505

List of positive integer factors of 20505 that divides 20493 without a remainder.

1, 3, 5, 15, 1367, 4101, 6835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20493 and 20505. The biggest common factor number is the GCF number.
So the greatest common factor 20493 and 20505 is 3.

Also check out the Least Common Multiple of 20493 and 20505