What is the Greatest Common Factor of 21679 and 21698?

Greatest common factor (GCF) of 21679 and 21698 is 19.

GCF(21679,21698) = 19

We will now calculate the prime factors of 21679 and 21698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21679 and 21698.

How to find the GCF of 21679 and 21698?

We will first find the prime factorization of 21679 and 21698. After we will calculate the factors of 21679 and 21698 and find the biggest common factor number .

Step-1: Prime Factorization of 21679

Prime factors of 21679 are 7, 19, 163. Prime factorization of 21679 in exponential form is:

21679 = 7¹ × 19¹ × 163¹

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 21679

List of positive integer factors of 21679 that divides 21679 without a remainder.

1, 7, 19, 133, 163, 1141, 3097

Step-4: Factors of 21698

List of positive integer factors of 21698 that divides 21679 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21679 and 21698. The biggest common factor number is the GCF number.
So the greatest common factor 21679 and 21698 is 19.

Also check out the Least Common Multiple of 21679 and 21698