What is the Greatest Common Factor of 31845 and 31855?

Greatest common factor (GCF) of 31845 and 31855 is 5.

GCF(31845,31855) = 5

We will now calculate the prime factors of 31845 and 31855, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31845 and 31855.

How to find the GCF of 31845 and 31855?

We will first find the prime factorization of 31845 and 31855. After we will calculate the factors of 31845 and 31855 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 31855

Prime factors of 31855 are 5, 23, 277. Prime factorization of 31855 in exponential form is:

31855 = 5¹ × 23¹ × 277¹

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 31855

List of positive integer factors of 31855 that divides 31845 without a remainder.

1, 5, 23, 115, 277, 1385, 6371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31845 and 31855. The biggest common factor number is the GCF number.
So the greatest common factor 31845 and 31855 is 5.

Also check out the Least Common Multiple of 31845 and 31855