What is the Greatest Common Factor of 20489 and 20499?

Greatest common factor (GCF) of 20489 and 20499 is 1.

GCF(20489,20499) = 1

We will now calculate the prime factors of 20489 and 20499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20489 and 20499.

How to find the GCF of 20489 and 20499?

We will first find the prime factorization of 20489 and 20499. After we will calculate the factors of 20489 and 20499 and find the biggest common factor number .

Step-1: Prime Factorization of 20489

Prime factors of 20489 are 7, 2927. Prime factorization of 20489 in exponential form is:

20489 = 7¹ × 2927¹

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 20489

List of positive integer factors of 20489 that divides 20489 without a remainder.

1, 7, 2927

Step-4: Factors of 20499

List of positive integer factors of 20499 that divides 20489 without a remainder.

1, 3, 6833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20489 and 20499. The biggest common factor number is the GCF number.
So the greatest common factor 20489 and 20499 is 1.

Also check out the Least Common Multiple of 20489 and 20499