What is the Greatest Common Factor of 31827 and 31845?

Greatest common factor (GCF) of 31827 and 31845 is 3.

GCF(31827,31845) = 3

We will now calculate the prime factors of 31827 and 31845, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31827 and 31845.

How to find the GCF of 31827 and 31845?

We will first find the prime factorization of 31827 and 31845. After we will calculate the factors of 31827 and 31845 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 31845

Prime factors of 31845 are 3, 5, 11, 193. Prime factorization of 31845 in exponential form is:

31845 = 3¹ × 5¹ × 11¹ × 193¹

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 31845

List of positive integer factors of 31845 that divides 31827 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 193, 579, 965, 2123, 2895, 6369, 10615

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31827 and 31845. The biggest common factor number is the GCF number.
So the greatest common factor 31827 and 31845 is 3.

Also check out the Least Common Multiple of 31827 and 31845