What is the Greatest Common Factor of 16884 and 16898?

Greatest common factor (GCF) of 16884 and 16898 is 14.

GCF(16884,16898) = 14

We will now calculate the prime factors of 16884 and 16898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16884 and 16898.

How to find the GCF of 16884 and 16898?

We will first find the prime factorization of 16884 and 16898. After we will calculate the factors of 16884 and 16898 and find the biggest common factor number .

Step-1: Prime Factorization of 16884

Prime factors of 16884 are 2, 3, 7, 67. Prime factorization of 16884 in exponential form is:

16884 = 2² × 3² × 7¹ × 67¹

Step-2: Prime Factorization of 16898

Prime factors of 16898 are 2, 7, 17, 71. Prime factorization of 16898 in exponential form is:

16898 = 2¹ × 7¹ × 17¹ × 71¹

Step-3: Factors of 16884

List of positive integer factors of 16884 that divides 16884 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 67, 84, 126, 134, 201, 252, 268, 402, 469, 603, 804, 938, 1206, 1407, 1876, 2412, 2814, 4221, 5628, 8442

Step-4: Factors of 16898

List of positive integer factors of 16898 that divides 16884 without a remainder.

1, 2, 7, 14, 17, 34, 71, 119, 142, 238, 497, 994, 1207, 2414, 8449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16884 and 16898. The biggest common factor number is the GCF number.
So the greatest common factor 16884 and 16898 is 14.

Also check out the Least Common Multiple of 16884 and 16898