What is the Greatest Common Factor of 21686 and 21704?

Greatest common factor (GCF) of 21686 and 21704 is 2.

GCF(21686,21704) = 2

We will now calculate the prime factors of 21686 and 21704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21686 and 21704.

How to find the GCF of 21686 and 21704?

We will first find the prime factorization of 21686 and 21704. After we will calculate the factors of 21686 and 21704 and find the biggest common factor number .

Step-1: Prime Factorization of 21686

Prime factors of 21686 are 2, 7, 1549. Prime factorization of 21686 in exponential form is:

21686 = 2¹ × 7¹ × 1549¹

Step-2: Prime Factorization of 21704

Prime factors of 21704 are 2, 2713. Prime factorization of 21704 in exponential form is:

21704 = 2³ × 2713¹

Step-3: Factors of 21686

List of positive integer factors of 21686 that divides 21686 without a remainder.

1, 2, 7, 14, 1549, 3098, 10843

Step-4: Factors of 21704

List of positive integer factors of 21704 that divides 21686 without a remainder.

1, 2, 4, 8, 2713, 5426, 10852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21686 and 21704. The biggest common factor number is the GCF number.
So the greatest common factor 21686 and 21704 is 2.

Also check out the Least Common Multiple of 21686 and 21704