What is the Greatest Common Factor of 17024 and 17041?

Greatest common factor (GCF) of 17024 and 17041 is 1.

GCF(17024,17041) = 1

We will now calculate the prime factors of 17024 and 17041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17024 and 17041.

How to find the GCF of 17024 and 17041?

We will first find the prime factorization of 17024 and 17041. After we will calculate the factors of 17024 and 17041 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 17041

Prime factors of 17041 are 17041. Prime factorization of 17041 in exponential form is:

17041 = 17041¹

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 17041

List of positive integer factors of 17041 that divides 17024 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17024 and 17041. The biggest common factor number is the GCF number.
So the greatest common factor 17024 and 17041 is 1.

Also check out the Least Common Multiple of 17024 and 17041