What is the Greatest Common Factor of 19788 and 19807?

Greatest common factor (GCF) of 19788 and 19807 is 1.

GCF(19788,19807) = 1

We will now calculate the prime factors of 19788 and 19807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19788 and 19807.

How to find the GCF of 19788 and 19807?

We will first find the prime factorization of 19788 and 19807. After we will calculate the factors of 19788 and 19807 and find the biggest common factor number .

Step-1: Prime Factorization of 19788

Prime factors of 19788 are 2, 3, 17, 97. Prime factorization of 19788 in exponential form is:

19788 = 2² × 3¹ × 17¹ × 97¹

Step-2: Prime Factorization of 19807

Prime factors of 19807 are 29, 683. Prime factorization of 19807 in exponential form is:

19807 = 29¹ × 683¹

Step-3: Factors of 19788

List of positive integer factors of 19788 that divides 19788 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 97, 102, 194, 204, 291, 388, 582, 1164, 1649, 3298, 4947, 6596, 9894

Step-4: Factors of 19807

List of positive integer factors of 19807 that divides 19788 without a remainder.

1, 29, 683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19788 and 19807. The biggest common factor number is the GCF number.
So the greatest common factor 19788 and 19807 is 1.

Also check out the Least Common Multiple of 19788 and 19807