What is the Greatest Common Factor of 16847 and 16864?

Greatest common factor (GCF) of 16847 and 16864 is 17.

GCF(16847,16864) = 17

We will now calculate the prime factors of 16847 and 16864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16847 and 16864.

How to find the GCF of 16847 and 16864?

We will first find the prime factorization of 16847 and 16864. After we will calculate the factors of 16847 and 16864 and find the biggest common factor number .

Step-1: Prime Factorization of 16847

Prime factors of 16847 are 17, 991. Prime factorization of 16847 in exponential form is:

16847 = 17¹ × 991¹

Step-2: Prime Factorization of 16864

Prime factors of 16864 are 2, 17, 31. Prime factorization of 16864 in exponential form is:

16864 = 2⁵ × 17¹ × 31¹

Step-3: Factors of 16847

List of positive integer factors of 16847 that divides 16847 without a remainder.

1, 17, 991

Step-4: Factors of 16864

List of positive integer factors of 16864 that divides 16847 without a remainder.

1, 2, 4, 8, 16, 17, 31, 32, 34, 62, 68, 124, 136, 248, 272, 496, 527, 544, 992, 1054, 2108, 4216, 8432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16847 and 16864. The biggest common factor number is the GCF number.
So the greatest common factor 16847 and 16864 is 17.

Also check out the Least Common Multiple of 16847 and 16864