What is the Greatest Common Factor of 16863 and 16874?

Greatest common factor (GCF) of 16863 and 16874 is 11.

GCF(16863,16874) = 11

We will now calculate the prime factors of 16863 and 16874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16863 and 16874.

How to find the GCF of 16863 and 16874?

We will first find the prime factorization of 16863 and 16874. After we will calculate the factors of 16863 and 16874 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 16874

Prime factors of 16874 are 2, 11, 13, 59. Prime factorization of 16874 in exponential form is:

16874 = 2¹ × 11¹ × 13¹ × 59¹

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 16874

List of positive integer factors of 16874 that divides 16863 without a remainder.

1, 2, 11, 13, 22, 26, 59, 118, 143, 286, 649, 767, 1298, 1534, 8437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16863 and 16874. The biggest common factor number is the GCF number.
So the greatest common factor 16863 and 16874 is 11.

Also check out the Least Common Multiple of 16863 and 16874