What is the Greatest Common Factor of 20697 and 20712?

Greatest common factor (GCF) of 20697 and 20712 is 3.

GCF(20697,20712) = 3

We will now calculate the prime factors of 20697 and 20712, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20697 and 20712.

How to find the GCF of 20697 and 20712?

We will first find the prime factorization of 20697 and 20712. After we will calculate the factors of 20697 and 20712 and find the biggest common factor number .

Step-1: Prime Factorization of 20697

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

20697 = 3¹ × 6899¹

Step-2: Prime Factorization of 20712

Prime factors of 20712 are 2, 3, 863. Prime factorization of 20712 in exponential form is:

20712 = 2³ × 3¹ × 863¹

Step-3: Factors of 20697

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

1, 3, 6899

Step-4: Factors of 20712

List of positive integer factors of 20712 that divides 20697 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 863, 1726, 2589, 3452, 5178, 6904, 10356

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20697 and 20712. The biggest common factor number is the GCF number.
So the greatest common factor 20697 and 20712 is 3.

Also check out the Least Common Multiple of 20697 and 20712