What is the Greatest Common Factor of 16863 and 16877?

Greatest common factor (GCF) of 16863 and 16877 is 7.

GCF(16863,16877) = 7

We will now calculate the prime factors of 16863 and 16877, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16863 and 16877.

How to find the GCF of 16863 and 16877?

We will first find the prime factorization of 16863 and 16877. After we will calculate the factors of 16863 and 16877 and find the biggest common factor number .

Step-1: Prime Factorization of 16863

Prime factors of 16863 are 3, 7, 11, 73. Prime factorization of 16863 in exponential form is:

16863 = 3¹ × 7¹ × 11¹ × 73¹

Step-2: Prime Factorization of 16877

Prime factors of 16877 are 7, 2411. Prime factorization of 16877 in exponential form is:

16877 = 7¹ × 2411¹

Step-3: Factors of 16863

List of positive integer factors of 16863 that divides 16863 without a remainder.

1, 3, 7, 11, 21, 33, 73, 77, 219, 231, 511, 803, 1533, 2409, 5621

Step-4: Factors of 16877

List of positive integer factors of 16877 that divides 16863 without a remainder.

1, 7, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16863 and 16877. The biggest common factor number is the GCF number.
So the greatest common factor 16863 and 16877 is 7.

Also check out the Least Common Multiple of 16863 and 16877