What is the Greatest Common Factor of 17010 and 17024?

Greatest common factor (GCF) of 17010 and 17024 is 14.

GCF(17010,17024) = 14

We will now calculate the prime factors of 17010 and 17024, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17010 and 17024.

How to find the GCF of 17010 and 17024?

We will first find the prime factorization of 17010 and 17024. After we will calculate the factors of 17010 and 17024 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17024

Prime factors of 17024 are 2, 7, 19. Prime factorization of 17024 in exponential form is:

17024 = 2⁷ × 7¹ × 19¹

Step-3: Factors of 17010

List of positive integer factors of 17010 that divides 17010 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

Step-4: Factors of 17024

List of positive integer factors of 17024 that divides 17010 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 64, 76, 112, 128, 133, 152, 224, 266, 304, 448, 532, 608, 896, 1064, 1216, 2128, 2432, 4256, 8512

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17010 and 17024. The biggest common factor number is the GCF number.
So the greatest common factor 17010 and 17024 is 14.

Also check out the Least Common Multiple of 17010 and 17024