What is the Greatest Common Factor of 19698 and 19709?

Greatest common factor (GCF) of 19698 and 19709 is 1.

GCF(19698,19709) = 1

We will now calculate the prime factors of 19698 and 19709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19698 and 19709.

How to find the GCF of 19698 and 19709?

We will first find the prime factorization of 19698 and 19709. After we will calculate the factors of 19698 and 19709 and find the biggest common factor number .

Step-1: Prime Factorization of 19698

Prime factors of 19698 are 2, 3, 7, 67. Prime factorization of 19698 in exponential form is:

19698 = 2¹ × 3¹ × 7² × 67¹

Step-2: Prime Factorization of 19709

Prime factors of 19709 are 19709. Prime factorization of 19709 in exponential form is:

19709 = 19709¹

Step-3: Factors of 19698

List of positive integer factors of 19698 that divides 19698 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 67, 98, 134, 147, 201, 294, 402, 469, 938, 1407, 2814, 3283, 6566, 9849

Step-4: Factors of 19709

List of positive integer factors of 19709 that divides 19698 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19698 and 19709. The biggest common factor number is the GCF number.
So the greatest common factor 19698 and 19709 is 1.

Also check out the Least Common Multiple of 19698 and 19709