What is the Greatest Common Factor of 21698 and 21718?

Greatest common factor (GCF) of 21698 and 21718 is 2.

GCF(21698,21718) = 2

We will now calculate the prime factors of 21698 and 21718, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21698 and 21718.

How to find the GCF of 21698 and 21718?

We will first find the prime factorization of 21698 and 21718. After we will calculate the factors of 21698 and 21718 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 21718

Prime factors of 21718 are 2, 10859. Prime factorization of 21718 in exponential form is:

21718 = 2¹ × 10859¹

Step-3: Factors of 21698

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

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

Step-4: Factors of 21718

List of positive integer factors of 21718 that divides 21698 without a remainder.

1, 2, 10859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21698 and 21718. The biggest common factor number is the GCF number.
So the greatest common factor 21698 and 21718 is 2.

Also check out the Least Common Multiple of 21698 and 21718