What is the Greatest Common Factor of 17458 and 17470?

Greatest common factor (GCF) of 17458 and 17470 is 2.

GCF(17458,17470) = 2

We will now calculate the prime factors of 17458 and 17470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17458 and 17470.

How to find the GCF of 17458 and 17470?

We will first find the prime factorization of 17458 and 17470. After we will calculate the factors of 17458 and 17470 and find the biggest common factor number .

Step-1: Prime Factorization of 17458

Prime factors of 17458 are 2, 7, 29, 43. Prime factorization of 17458 in exponential form is:

17458 = 2¹ × 7¹ × 29¹ × 43¹

Step-2: Prime Factorization of 17470

Prime factors of 17470 are 2, 5, 1747. Prime factorization of 17470 in exponential form is:

17470 = 2¹ × 5¹ × 1747¹

Step-3: Factors of 17458

List of positive integer factors of 17458 that divides 17458 without a remainder.

1, 2, 7, 14, 29, 43, 58, 86, 203, 301, 406, 602, 1247, 2494, 8729

Step-4: Factors of 17470

List of positive integer factors of 17470 that divides 17458 without a remainder.

1, 2, 5, 10, 1747, 3494, 8735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17458 and 17470. The biggest common factor number is the GCF number.
So the greatest common factor 17458 and 17470 is 2.

Also check out the Least Common Multiple of 17458 and 17470