What is the Greatest Common Factor of 21686 and 21692?

Greatest common factor (GCF) of 21686 and 21692 is 2.

GCF(21686,21692) = 2

We will now calculate the prime factors of 21686 and 21692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21686 and 21692.

How to find the GCF of 21686 and 21692?

We will first find the prime factorization of 21686 and 21692. After we will calculate the factors of 21686 and 21692 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 21692

Prime factors of 21692 are 2, 11, 17, 29. Prime factorization of 21692 in exponential form is:

21692 = 2² × 11¹ × 17¹ × 29¹

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 21692

List of positive integer factors of 21692 that divides 21686 without a remainder.

1, 2, 4, 11, 17, 22, 29, 34, 44, 58, 68, 116, 187, 319, 374, 493, 638, 748, 986, 1276, 1972, 5423, 10846

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21686 and 21692. The biggest common factor number is the GCF number.
So the greatest common factor 21686 and 21692 is 2.

Also check out the Least Common Multiple of 21686 and 21692