What is the Greatest Common Factor of 16877 and 16891?

Greatest common factor (GCF) of 16877 and 16891 is 7.

GCF(16877,16891) = 7

We will now calculate the prime factors of 16877 and 16891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16877 and 16891.

How to find the GCF of 16877 and 16891?

We will first find the prime factorization of 16877 and 16891. After we will calculate the factors of 16877 and 16891 and find the biggest common factor number .

Step-1: Prime Factorization of 16877

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

16877 = 7¹ × 2411¹

Step-2: Prime Factorization of 16891

Prime factors of 16891 are 7, 19, 127. Prime factorization of 16891 in exponential form is:

16891 = 7¹ × 19¹ × 127¹

Step-3: Factors of 16877

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

1, 7, 2411

Step-4: Factors of 16891

List of positive integer factors of 16891 that divides 16877 without a remainder.

1, 7, 19, 127, 133, 889, 2413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16877 and 16891. The biggest common factor number is the GCF number.
So the greatest common factor 16877 and 16891 is 7.

Also check out the Least Common Multiple of 16877 and 16891