What is the Greatest Common Factor of 16761 and 16779?

Greatest common factor (GCF) of 16761 and 16779 is 3.

GCF(16761,16779) = 3

We will now calculate the prime factors of 16761 and 16779, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16761 and 16779.

How to find the GCF of 16761 and 16779?

We will first find the prime factorization of 16761 and 16779. After we will calculate the factors of 16761 and 16779 and find the biggest common factor number .

Step-1: Prime Factorization of 16761

Prime factors of 16761 are 3, 37, 151. Prime factorization of 16761 in exponential form is:

16761 = 3¹ × 37¹ × 151¹

Step-2: 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-3: Factors of 16761

List of positive integer factors of 16761 that divides 16761 without a remainder.

1, 3, 37, 111, 151, 453, 5587

Step-4: Factors of 16779

List of positive integer factors of 16779 that divides 16761 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16761 and 16779. The biggest common factor number is the GCF number.
So the greatest common factor 16761 and 16779 is 3.

Also check out the Least Common Multiple of 16761 and 16779