What is the Greatest Common Factor of 17031 and 17038?

Greatest common factor (GCF) of 17031 and 17038 is 7.

GCF(17031,17038) = 7

We will now calculate the prime factors of 17031 and 17038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17031 and 17038.

How to find the GCF of 17031 and 17038?

We will first find the prime factorization of 17031 and 17038. After we will calculate the factors of 17031 and 17038 and find the biggest common factor number .

Step-1: Prime Factorization of 17031

Prime factors of 17031 are 3, 7, 811. Prime factorization of 17031 in exponential form is:

17031 = 3¹ × 7¹ × 811¹

Step-2: Prime Factorization of 17038

Prime factors of 17038 are 2, 7, 1217. Prime factorization of 17038 in exponential form is:

17038 = 2¹ × 7¹ × 1217¹

Step-3: Factors of 17031

List of positive integer factors of 17031 that divides 17031 without a remainder.

1, 3, 7, 21, 811, 2433, 5677

Step-4: Factors of 17038

List of positive integer factors of 17038 that divides 17031 without a remainder.

1, 2, 7, 14, 1217, 2434, 8519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17031 and 17038. The biggest common factor number is the GCF number.
So the greatest common factor 17031 and 17038 is 7.

Also check out the Least Common Multiple of 17031 and 17038