What is the Greatest Common Factor of 19788 and 19802?

Greatest common factor (GCF) of 19788 and 19802 is 2.

GCF(19788,19802) = 2

We will now calculate the prime factors of 19788 and 19802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19788 and 19802.

How to find the GCF of 19788 and 19802?

We will first find the prime factorization of 19788 and 19802. After we will calculate the factors of 19788 and 19802 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 19802

Prime factors of 19802 are 2, 9901. Prime factorization of 19802 in exponential form is:

19802 = 2¹ × 9901¹

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 19802

List of positive integer factors of 19802 that divides 19788 without a remainder.

1, 2, 9901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19788 and 19802. The biggest common factor number is the GCF number.
So the greatest common factor 19788 and 19802 is 2.

Also check out the Least Common Multiple of 19788 and 19802