What is the Greatest Common Factor of 32085 and 32090?

Greatest common factor (GCF) of 32085 and 32090 is 5.

GCF(32085,32090) = 5

We will now calculate the prime factors of 32085 and 32090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32085 and 32090.

How to find the GCF of 32085 and 32090?

We will first find the prime factorization of 32085 and 32090. After we will calculate the factors of 32085 and 32090 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 32090

Prime factors of 32090 are 2, 5, 3209. Prime factorization of 32090 in exponential form is:

32090 = 2¹ × 5¹ × 3209¹

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 32090

List of positive integer factors of 32090 that divides 32085 without a remainder.

1, 2, 5, 10, 3209, 6418, 16045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32085 and 32090. The biggest common factor number is the GCF number.
So the greatest common factor 32085 and 32090 is 5.

Also check out the Least Common Multiple of 32085 and 32090