What is the Greatest Common Factor of 16783 and 16796?

Greatest common factor (GCF) of 16783 and 16796 is 13.

GCF(16783,16796) = 13

We will now calculate the prime factors of 16783 and 16796, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16783 and 16796.

How to find the GCF of 16783 and 16796?

We will first find the prime factorization of 16783 and 16796. After we will calculate the factors of 16783 and 16796 and find the biggest common factor number .

Step-1: Prime Factorization of 16783

Prime factors of 16783 are 13, 1291. Prime factorization of 16783 in exponential form is:

16783 = 13¹ × 1291¹

Step-2: Prime Factorization of 16796

Prime factors of 16796 are 2, 13, 17, 19. Prime factorization of 16796 in exponential form is:

16796 = 2² × 13¹ × 17¹ × 19¹

Step-3: Factors of 16783

List of positive integer factors of 16783 that divides 16783 without a remainder.

1, 13, 1291

Step-4: Factors of 16796

List of positive integer factors of 16796 that divides 16783 without a remainder.

1, 2, 4, 13, 17, 19, 26, 34, 38, 52, 68, 76, 221, 247, 323, 442, 494, 646, 884, 988, 1292, 4199, 8398

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16783 and 16796. The biggest common factor number is the GCF number.
So the greatest common factor 16783 and 16796 is 13.

Also check out the Least Common Multiple of 16783 and 16796