What is the Greatest Common Factor of 16779 and 16793?

Greatest common factor (GCF) of 16779 and 16793 is 7.

GCF(16779,16793) = 7

We will now calculate the prime factors of 16779 and 16793, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16779 and 16793.

How to find the GCF of 16779 and 16793?

We will first find the prime factorization of 16779 and 16793. After we will calculate the factors of 16779 and 16793 and find the biggest common factor number .

Step-1: Prime Factorization of 16779

Prime factors of 16779 are 3, 7, 17, 47. Prime factorization of 16779 in exponential form is:

16779 = 3¹ × 7¹ × 17¹ × 47¹

Step-2: Prime Factorization of 16793

Prime factors of 16793 are 7, 2399. Prime factorization of 16793 in exponential form is:

16793 = 7¹ × 2399¹

Step-3: Factors of 16779

List of positive integer factors of 16779 that divides 16779 without a remainder.

1, 3, 7, 17, 21, 47, 51, 119, 141, 329, 357, 799, 987, 2397, 5593

Step-4: Factors of 16793

List of positive integer factors of 16793 that divides 16779 without a remainder.

1, 7, 2399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16779 and 16793. The biggest common factor number is the GCF number.
So the greatest common factor 16779 and 16793 is 7.

Also check out the Least Common Multiple of 16779 and 16793