What is the Greatest Common Factor of 17024 and 17029?

Greatest common factor (GCF) of 17024 and 17029 is 1.

GCF(17024,17029) = 1

We will now calculate the prime factors of 17024 and 17029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17024 and 17029.

How to find the GCF of 17024 and 17029?

We will first find the prime factorization of 17024 and 17029. After we will calculate the factors of 17024 and 17029 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 17029

Prime factors of 17029 are 17029. Prime factorization of 17029 in exponential form is:

17029 = 17029¹

Step-3: Factors of 17024

List of positive integer factors of 17024 that divides 17024 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

Step-4: Factors of 17029

List of positive integer factors of 17029 that divides 17024 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17024 and 17029. The biggest common factor number is the GCF number.
So the greatest common factor 17024 and 17029 is 1.

Also check out the Least Common Multiple of 17024 and 17029