What is the Greatest Common Factor of 16874 and 16880?

Greatest common factor (GCF) of 16874 and 16880 is 2.

GCF(16874,16880) = 2

We will now calculate the prime factors of 16874 and 16880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16874 and 16880.

How to find the GCF of 16874 and 16880?

We will first find the prime factorization of 16874 and 16880. After we will calculate the factors of 16874 and 16880 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16880

Prime factors of 16880 are 2, 5, 211. Prime factorization of 16880 in exponential form is:

16880 = 2⁴ × 5¹ × 211¹

Step-3: Factors of 16874

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

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

Step-4: Factors of 16880

List of positive integer factors of 16880 that divides 16874 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 211, 422, 844, 1055, 1688, 2110, 3376, 4220, 8440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16874 and 16880. The biggest common factor number is the GCF number.
So the greatest common factor 16874 and 16880 is 2.

Also check out the Least Common Multiple of 16874 and 16880