What is the Greatest Common Factor of 32085 and 32091?

Greatest common factor (GCF) of 32085 and 32091 is 3.

GCF(32085,32091) = 3

We will now calculate the prime factors of 32085 and 32091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32085 and 32091.

How to find the GCF of 32085 and 32091?

We will first find the prime factorization of 32085 and 32091. After we will calculate the factors of 32085 and 32091 and find the biggest common factor number .

Step-1: Prime Factorization of 32085

Prime factors of 32085 are 3, 5, 23, 31. Prime factorization of 32085 in exponential form is:

32085 = 3² × 5¹ × 23¹ × 31¹

Step-2: Prime Factorization of 32091

Prime factors of 32091 are 3, 19, 563. Prime factorization of 32091 in exponential form is:

32091 = 3¹ × 19¹ × 563¹

Step-3: Factors of 32085

List of positive integer factors of 32085 that divides 32085 without a remainder.

1, 3, 5, 9, 15, 23, 31, 45, 69, 93, 115, 155, 207, 279, 345, 465, 713, 1035, 1395, 2139, 3565, 6417, 10695

Step-4: Factors of 32091

List of positive integer factors of 32091 that divides 32085 without a remainder.

1, 3, 19, 57, 563, 1689, 10697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32085 and 32091. The biggest common factor number is the GCF number.
So the greatest common factor 32085 and 32091 is 3.

Also check out the Least Common Multiple of 32085 and 32091