What is the Greatest Common Factor of 20685 and 20697?

Greatest common factor (GCF) of 20685 and 20697 is 3.

GCF(20685,20697) = 3

We will now calculate the prime factors of 20685 and 20697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20685 and 20697.

How to find the GCF of 20685 and 20697?

We will first find the prime factorization of 20685 and 20697. After we will calculate the factors of 20685 and 20697 and find the biggest common factor number .

Step-1: Prime Factorization of 20685

Prime factors of 20685 are 3, 5, 7, 197. Prime factorization of 20685 in exponential form is:

20685 = 3¹ × 5¹ × 7¹ × 197¹

Step-2: Prime Factorization of 20697

Prime factors of 20697 are 3, 6899. Prime factorization of 20697 in exponential form is:

20697 = 3¹ × 6899¹

Step-3: Factors of 20685

List of positive integer factors of 20685 that divides 20685 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 197, 591, 985, 1379, 2955, 4137, 6895

Step-4: Factors of 20697

List of positive integer factors of 20697 that divides 20685 without a remainder.

1, 3, 6899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20685 and 20697. The biggest common factor number is the GCF number.
So the greatest common factor 20685 and 20697 is 3.

Also check out the Least Common Multiple of 20685 and 20697