GCF and LCM Calculator Logo

What is the Greatest Common Factor of 20297 and 20309?

Greatest common factor (GCF) of 20297 and 20309 is 1.

GCF(20297,20309) = 1

We will now calculate the prime factors of 20297 and 20309, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20297 and 20309.

GCF Calculator and
and

How to find the GCF of 20297 and 20309?

We will first find the prime factorization of 20297 and 20309. After we will calculate the factors of 20297 and 20309 and find the biggest common factor number .

Step-1: Prime Factorization of 20297

Prime factors of 20297 are 20297. Prime factorization of 20297 in exponential form is:

20297 = 202971

Step-2: Prime Factorization of 20309

Prime factors of 20309 are 23, 883. Prime factorization of 20309 in exponential form is:

20309 = 231 × 8831

Step-3: Factors of 20297

List of positive integer factors of 20297 that divides 20297 without a remainder.

1

Step-4: Factors of 20309

List of positive integer factors of 20309 that divides 20297 without a remainder.

1, 23, 883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20297 and 20309. The biggest common factor number is the GCF number.
So the greatest common factor 20297 and 20309 is 1.

Also check out the Least Common Multiple of 20297 and 20309