What is the Greatest Common Factor of 31827 and 31841?

Greatest common factor (GCF) of 31827 and 31841 is 1.

GCF(31827,31841) = 1

We will now calculate the prime factors of 31827 and 31841, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31827 and 31841.

How to find the GCF of 31827 and 31841?

We will first find the prime factorization of 31827 and 31841. After we will calculate the factors of 31827 and 31841 and find the biggest common factor number .

Step-1: Prime Factorization of 31827

Prime factors of 31827 are 3, 103. Prime factorization of 31827 in exponential form is:

31827 = 3¹ × 103²

Step-2: Prime Factorization of 31841

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

31841 = 17¹ × 1873¹

Step-3: Factors of 31827

List of positive integer factors of 31827 that divides 31827 without a remainder.

1, 3, 103, 309, 10609

Step-4: Factors of 31841

List of positive integer factors of 31841 that divides 31827 without a remainder.

1, 17, 1873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31827 and 31841. The biggest common factor number is the GCF number.
So the greatest common factor 31827 and 31841 is 1.

Also check out the Least Common Multiple of 31827 and 31841