What is the Greatest Common Factor of 20433 and 20445?

Greatest common factor (GCF) of 20433 and 20445 is 3.

GCF(20433,20445) = 3

We will now calculate the prime factors of 20433 and 20445, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20433 and 20445.

How to find the GCF of 20433 and 20445?

We will first find the prime factorization of 20433 and 20445. After we will calculate the factors of 20433 and 20445 and find the biggest common factor number .

Step-1: Prime Factorization of 20433

Prime factors of 20433 are 3, 7, 139. Prime factorization of 20433 in exponential form is:

20433 = 3¹ × 7² × 139¹

Step-2: Prime Factorization of 20445

Prime factors of 20445 are 3, 5, 29, 47. Prime factorization of 20445 in exponential form is:

20445 = 3¹ × 5¹ × 29¹ × 47¹

Step-3: Factors of 20433

List of positive integer factors of 20433 that divides 20433 without a remainder.

1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811

Step-4: Factors of 20445

List of positive integer factors of 20445 that divides 20433 without a remainder.

1, 3, 5, 15, 29, 47, 87, 141, 145, 235, 435, 705, 1363, 4089, 6815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20433 and 20445. The biggest common factor number is the GCF number.
So the greatest common factor 20433 and 20445 is 3.

Also check out the Least Common Multiple of 20433 and 20445