What is the Greatest Common Factor of 31845 and 31861?

Greatest common factor (GCF) of 31845 and 31861 is 1.

GCF(31845,31861) = 1

We will now calculate the prime factors of 31845 and 31861, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31845 and 31861.

How to find the GCF of 31845 and 31861?

We will first find the prime factorization of 31845 and 31861. After we will calculate the factors of 31845 and 31861 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 31861

Prime factors of 31861 are 151, 211. Prime factorization of 31861 in exponential form is:

31861 = 151¹ × 211¹

Step-3: Factors of 31845

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

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

Step-4: Factors of 31861

List of positive integer factors of 31861 that divides 31845 without a remainder.

1, 151, 211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31845 and 31861. The biggest common factor number is the GCF number.
So the greatest common factor 31845 and 31861 is 1.

Also check out the Least Common Multiple of 31845 and 31861