What is the Greatest Common Factor of 21688 and 21707?

Greatest common factor (GCF) of 21688 and 21707 is 1.

GCF(21688,21707) = 1

We will now calculate the prime factors of 21688 and 21707, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21688 and 21707.

How to find the GCF of 21688 and 21707?

We will first find the prime factorization of 21688 and 21707. After we will calculate the factors of 21688 and 21707 and find the biggest common factor number .

Step-1: Prime Factorization of 21688

Prime factors of 21688 are 2, 2711. Prime factorization of 21688 in exponential form is:

21688 = 2³ × 2711¹

Step-2: Prime Factorization of 21707

Prime factors of 21707 are 7, 443. Prime factorization of 21707 in exponential form is:

21707 = 7² × 443¹

Step-3: Factors of 21688

List of positive integer factors of 21688 that divides 21688 without a remainder.

1, 2, 4, 8, 2711, 5422, 10844

Step-4: Factors of 21707

List of positive integer factors of 21707 that divides 21688 without a remainder.

1, 7, 49, 443, 3101

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21688 and 21707. The biggest common factor number is the GCF number.
So the greatest common factor 21688 and 21707 is 1.

Also check out the Least Common Multiple of 21688 and 21707