What is the Greatest Common Factor of 19801 and 19817?

Greatest common factor (GCF) of 19801 and 19817 is 1.

GCF(19801,19817) = 1

We will now calculate the prime factors of 19801 and 19817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19801 and 19817.

How to find the GCF of 19801 and 19817?

We will first find the prime factorization of 19801 and 19817. After we will calculate the factors of 19801 and 19817 and find the biggest common factor number .

Step-1: Prime Factorization of 19801

Prime factors of 19801 are 19801. Prime factorization of 19801 in exponential form is:

19801 = 19801¹

Step-2: Prime Factorization of 19817

Prime factors of 19817 are 7, 19, 149. Prime factorization of 19817 in exponential form is:

19817 = 7¹ × 19¹ × 149¹

Step-3: Factors of 19801

List of positive integer factors of 19801 that divides 19801 without a remainder.

Step-4: Factors of 19817

List of positive integer factors of 19817 that divides 19801 without a remainder.

1, 7, 19, 133, 149, 1043, 2831

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19801 and 19817. The biggest common factor number is the GCF number.
So the greatest common factor 19801 and 19817 is 1.

Also check out the Least Common Multiple of 19801 and 19817