What is the Greatest Common Factor of 20089 and 20098?

Greatest common factor (GCF) of 20089 and 20098 is 1.

GCF(20089,20098) = 1

We will now calculate the prime factors of 20089 and 20098, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20089 and 20098.

How to find the GCF of 20089 and 20098?

We will first find the prime factorization of 20089 and 20098. After we will calculate the factors of 20089 and 20098 and find the biggest common factor number .

Step-1: Prime Factorization of 20089

Prime factors of 20089 are 20089. Prime factorization of 20089 in exponential form is:

20089 = 20089¹

Step-2: Prime Factorization of 20098

Prime factors of 20098 are 2, 13, 773. Prime factorization of 20098 in exponential form is:

20098 = 2¹ × 13¹ × 773¹

Step-3: Factors of 20089

List of positive integer factors of 20089 that divides 20089 without a remainder.

Step-4: Factors of 20098

List of positive integer factors of 20098 that divides 20089 without a remainder.

1, 2, 13, 26, 773, 1546, 10049

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20089 and 20098. The biggest common factor number is the GCF number.
So the greatest common factor 20089 and 20098 is 1.

Also check out the Least Common Multiple of 20089 and 20098