What is the Greatest Common Factor of 19771 and 19788?

Greatest common factor (GCF) of 19771 and 19788 is 17.

GCF(19771,19788) = 17

We will now calculate the prime factors of 19771 and 19788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19771 and 19788.

How to find the GCF of 19771 and 19788?

We will first find the prime factorization of 19771 and 19788. After we will calculate the factors of 19771 and 19788 and find the biggest common factor number .

Step-1: Prime Factorization of 19771

Prime factors of 19771 are 17, 1163. Prime factorization of 19771 in exponential form is:

19771 = 17¹ × 1163¹

Step-2: 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-3: Factors of 19771

List of positive integer factors of 19771 that divides 19771 without a remainder.

1, 17, 1163

Step-4: Factors of 19788

List of positive integer factors of 19788 that divides 19771 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19771 and 19788. The biggest common factor number is the GCF number.
So the greatest common factor 19771 and 19788 is 17.

Also check out the Least Common Multiple of 19771 and 19788