What is the Greatest Common Factor of 16996 and 17010?

Greatest common factor (GCF) of 16996 and 17010 is 14.

GCF(16996,17010) = 14

We will now calculate the prime factors of 16996 and 17010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16996 and 17010.

How to find the GCF of 16996 and 17010?

We will first find the prime factorization of 16996 and 17010. After we will calculate the factors of 16996 and 17010 and find the biggest common factor number .

Step-1: Prime Factorization of 16996

Prime factors of 16996 are 2, 7, 607. Prime factorization of 16996 in exponential form is:

16996 = 2² × 7¹ × 607¹

Step-2: Prime Factorization of 17010

Prime factors of 17010 are 2, 3, 5, 7. Prime factorization of 17010 in exponential form is:

17010 = 2¹ × 3⁵ × 5¹ × 7¹

Step-3: Factors of 16996

List of positive integer factors of 16996 that divides 16996 without a remainder.

1, 2, 4, 7, 14, 28, 607, 1214, 2428, 4249, 8498

Step-4: Factors of 17010

List of positive integer factors of 17010 that divides 16996 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 243, 270, 315, 378, 405, 486, 567, 630, 810, 945, 1134, 1215, 1701, 1890, 2430, 2835, 3402, 5670, 8505

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16996 and 17010. The biggest common factor number is the GCF number.
So the greatest common factor 16996 and 17010 is 14.

Also check out the Least Common Multiple of 16996 and 17010