What is the Greatest Common Factor of 21683 and 21690?

Greatest common factor (GCF) of 21683 and 21690 is 1.

GCF(21683,21690) = 1

We will now calculate the prime factors of 21683 and 21690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21683 and 21690.

How to find the GCF of 21683 and 21690?

We will first find the prime factorization of 21683 and 21690. After we will calculate the factors of 21683 and 21690 and find the biggest common factor number .

Step-1: Prime Factorization of 21683

Prime factors of 21683 are 21683. Prime factorization of 21683 in exponential form is:

21683 = 21683¹

Step-2: Prime Factorization of 21690

Prime factors of 21690 are 2, 3, 5, 241. Prime factorization of 21690 in exponential form is:

21690 = 2¹ × 3² × 5¹ × 241¹

Step-3: Factors of 21683

List of positive integer factors of 21683 that divides 21683 without a remainder.

Step-4: Factors of 21690

List of positive integer factors of 21690 that divides 21683 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 241, 482, 723, 1205, 1446, 2169, 2410, 3615, 4338, 7230, 10845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21683 and 21690. The biggest common factor number is the GCF number.
So the greatest common factor 21683 and 21690 is 1.

Also check out the Least Common Multiple of 21683 and 21690