What is the Greatest Common Factor of 16898 and 16915?

Greatest common factor (GCF) of 16898 and 16915 is 17.

GCF(16898,16915) = 17

We will now calculate the prime factors of 16898 and 16915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16898 and 16915.

How to find the GCF of 16898 and 16915?

We will first find the prime factorization of 16898 and 16915. After we will calculate the factors of 16898 and 16915 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16915

Prime factors of 16915 are 5, 17, 199. Prime factorization of 16915 in exponential form is:

16915 = 5¹ × 17¹ × 199¹

Step-3: Factors of 16898

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

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

Step-4: Factors of 16915

List of positive integer factors of 16915 that divides 16898 without a remainder.

1, 5, 17, 85, 199, 995, 3383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16898 and 16915. The biggest common factor number is the GCF number.
So the greatest common factor 16898 and 16915 is 17.

Also check out the Least Common Multiple of 16898 and 16915