What is the Greatest Common Factor of 31841 and 31858?

Greatest common factor (GCF) of 31841 and 31858 is 17.

GCF(31841,31858) = 17

We will now calculate the prime factors of 31841 and 31858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31841 and 31858.

How to find the GCF of 31841 and 31858?

We will first find the prime factorization of 31841 and 31858. After we will calculate the factors of 31841 and 31858 and find the biggest common factor number .

Step-1: Prime Factorization of 31841

Prime factors of 31841 are 17, 1873. Prime factorization of 31841 in exponential form is:

31841 = 17¹ × 1873¹

Step-2: Prime Factorization of 31858

Prime factors of 31858 are 2, 17, 937. Prime factorization of 31858 in exponential form is:

31858 = 2¹ × 17¹ × 937¹

Step-3: Factors of 31841

List of positive integer factors of 31841 that divides 31841 without a remainder.

1, 17, 1873

Step-4: Factors of 31858

List of positive integer factors of 31858 that divides 31841 without a remainder.

1, 2, 17, 34, 937, 1874, 15929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31841 and 31858. The biggest common factor number is the GCF number.
So the greatest common factor 31841 and 31858 is 17.

Also check out the Least Common Multiple of 31841 and 31858