What is the Greatest Common Factor of 21682 and 21698?

Greatest common factor (GCF) of 21682 and 21698 is 2.

GCF(21682,21698) = 2

We will now calculate the prime factors of 21682 and 21698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21682 and 21698.

How to find the GCF of 21682 and 21698?

We will first find the prime factorization of 21682 and 21698. After we will calculate the factors of 21682 and 21698 and find the biggest common factor number .

Step-1: Prime Factorization of 21682

Prime factors of 21682 are 2, 37, 293. Prime factorization of 21682 in exponential form is:

21682 = 2¹ × 37¹ × 293¹

Step-2: Prime Factorization of 21698

Prime factors of 21698 are 2, 19, 571. Prime factorization of 21698 in exponential form is:

21698 = 2¹ × 19¹ × 571¹

Step-3: Factors of 21682

List of positive integer factors of 21682 that divides 21682 without a remainder.

1, 2, 37, 74, 293, 586, 10841

Step-4: Factors of 21698

List of positive integer factors of 21698 that divides 21682 without a remainder.

1, 2, 19, 38, 571, 1142, 10849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21682 and 21698. The biggest common factor number is the GCF number.
So the greatest common factor 21682 and 21698 is 2.

Also check out the Least Common Multiple of 21682 and 21698