What is the Greatest Common Factor of 20487 and 20499?

Greatest common factor (GCF) of 20487 and 20499 is 3.

GCF(20487,20499) = 3

We will now calculate the prime factors of 20487 and 20499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20487 and 20499.

How to find the GCF of 20487 and 20499?

We will first find the prime factorization of 20487 and 20499. After we will calculate the factors of 20487 and 20499 and find the biggest common factor number .

Step-1: Prime Factorization of 20487

Prime factors of 20487 are 3, 6829. Prime factorization of 20487 in exponential form is:

20487 = 3¹ × 6829¹

Step-2: Prime Factorization of 20499

Prime factors of 20499 are 3, 6833. Prime factorization of 20499 in exponential form is:

20499 = 3¹ × 6833¹

Step-3: Factors of 20487

List of positive integer factors of 20487 that divides 20487 without a remainder.

1, 3, 6829

Step-4: Factors of 20499

List of positive integer factors of 20499 that divides 20487 without a remainder.

1, 3, 6833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20487 and 20499. The biggest common factor number is the GCF number.
So the greatest common factor 20487 and 20499 is 3.

Also check out the Least Common Multiple of 20487 and 20499