What is the Greatest Common Factor of 17831 and 17842?

Greatest common factor (GCF) of 17831 and 17842 is 11.

GCF(17831,17842) = 11

We will now calculate the prime factors of 17831 and 17842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17831 and 17842.

How to find the GCF of 17831 and 17842?

We will first find the prime factorization of 17831 and 17842. After we will calculate the factors of 17831 and 17842 and find the biggest common factor number .

Step-1: Prime Factorization of 17831

Prime factors of 17831 are 11, 1621. Prime factorization of 17831 in exponential form is:

17831 = 11¹ × 1621¹

Step-2: Prime Factorization of 17842

Prime factors of 17842 are 2, 11, 811. Prime factorization of 17842 in exponential form is:

17842 = 2¹ × 11¹ × 811¹

Step-3: Factors of 17831

List of positive integer factors of 17831 that divides 17831 without a remainder.

1, 11, 1621

Step-4: Factors of 17842

List of positive integer factors of 17842 that divides 17831 without a remainder.

1, 2, 11, 22, 811, 1622, 8921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17831 and 17842. The biggest common factor number is the GCF number.
So the greatest common factor 17831 and 17842 is 11.

Also check out the Least Common Multiple of 17831 and 17842