What is the Greatest Common Factor of 16776 and 16791?

Greatest common factor (GCF) of 16776 and 16791 is 3.

GCF(16776,16791) = 3

We will now calculate the prime factors of 16776 and 16791, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16776 and 16791.

How to find the GCF of 16776 and 16791?

We will first find the prime factorization of 16776 and 16791. After we will calculate the factors of 16776 and 16791 and find the biggest common factor number .

Step-1: Prime Factorization of 16776

Prime factors of 16776 are 2, 3, 233. Prime factorization of 16776 in exponential form is:

16776 = 2³ × 3² × 233¹

Step-2: Prime Factorization of 16791

Prime factors of 16791 are 3, 29, 193. Prime factorization of 16791 in exponential form is:

16791 = 3¹ × 29¹ × 193¹

Step-3: Factors of 16776

List of positive integer factors of 16776 that divides 16776 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 233, 466, 699, 932, 1398, 1864, 2097, 2796, 4194, 5592, 8388

Step-4: Factors of 16791

List of positive integer factors of 16791 that divides 16776 without a remainder.

1, 3, 29, 87, 193, 579, 5597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16776 and 16791. The biggest common factor number is the GCF number.
So the greatest common factor 16776 and 16791 is 3.

Also check out the Least Common Multiple of 16776 and 16791