What is the Greatest Common Factor of 19768 and 19788?

Greatest common factor (GCF) of 19768 and 19788 is 4.

GCF(19768,19788) = 4

We will now calculate the prime factors of 19768 and 19788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19768 and 19788.

How to find the GCF of 19768 and 19788?

We will first find the prime factorization of 19768 and 19788. After we will calculate the factors of 19768 and 19788 and find the biggest common factor number .

Step-1: Prime Factorization of 19768

Prime factors of 19768 are 2, 7, 353. Prime factorization of 19768 in exponential form is:

19768 = 2³ × 7¹ × 353¹

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 19768

List of positive integer factors of 19768 that divides 19768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 353, 706, 1412, 2471, 2824, 4942, 9884

Step-4: Factors of 19788

List of positive integer factors of 19788 that divides 19768 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 19768 and 19788. The biggest common factor number is the GCF number.
So the greatest common factor 19768 and 19788 is 4.

Also check out the Least Common Multiple of 19768 and 19788