What is the Greatest Common Factor of 20666 and 20684?

Greatest common factor (GCF) of 20666 and 20684 is 2.

GCF(20666,20684) = 2

We will now calculate the prime factors of 20666 and 20684, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20666 and 20684.

How to find the GCF of 20666 and 20684?

We will first find the prime factorization of 20666 and 20684. After we will calculate the factors of 20666 and 20684 and find the biggest common factor number .

Step-1: Prime Factorization of 20666

Prime factors of 20666 are 2, 10333. Prime factorization of 20666 in exponential form is:

20666 = 2¹ × 10333¹

Step-2: Prime Factorization of 20684

Prime factors of 20684 are 2, 5171. Prime factorization of 20684 in exponential form is:

20684 = 2² × 5171¹

Step-3: Factors of 20666

List of positive integer factors of 20666 that divides 20666 without a remainder.

1, 2, 10333

Step-4: Factors of 20684

List of positive integer factors of 20684 that divides 20666 without a remainder.

1, 2, 4, 5171, 10342

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20666 and 20684. The biggest common factor number is the GCF number.
So the greatest common factor 20666 and 20684 is 2.

Also check out the Least Common Multiple of 20666 and 20684