What is the Greatest Common Factor of 20097 and 20103?

Greatest common factor (GCF) of 20097 and 20103 is 3.

GCF(20097,20103) = 3

We will now calculate the prime factors of 20097 and 20103, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20097 and 20103.

How to find the GCF of 20097 and 20103?

We will first find the prime factorization of 20097 and 20103. After we will calculate the factors of 20097 and 20103 and find the biggest common factor number .

Step-1: Prime Factorization of 20097

Prime factors of 20097 are 3, 7, 11, 29. Prime factorization of 20097 in exponential form is:

20097 = 3² × 7¹ × 11¹ × 29¹

Step-2: Prime Factorization of 20103

Prime factors of 20103 are 3, 6701. Prime factorization of 20103 in exponential form is:

20103 = 3¹ × 6701¹

Step-3: Factors of 20097

List of positive integer factors of 20097 that divides 20097 without a remainder.

1, 3, 7, 9, 11, 21, 29, 33, 63, 77, 87, 99, 203, 231, 261, 319, 609, 693, 957, 1827, 2233, 2871, 6699

Step-4: Factors of 20103

List of positive integer factors of 20103 that divides 20097 without a remainder.

1, 3, 6701

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20097 and 20103. The biggest common factor number is the GCF number.
So the greatest common factor 20097 and 20103 is 3.

Also check out the Least Common Multiple of 20097 and 20103