What is the Greatest Common Factor of 32315 and 32320?

Greatest common factor (GCF) of 32315 and 32320 is 5.

GCF(32315,32320) = 5

We will now calculate the prime factors of 32315 and 32320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32315 and 32320.

How to find the GCF of 32315 and 32320?

We will first find the prime factorization of 32315 and 32320. After we will calculate the factors of 32315 and 32320 and find the biggest common factor number .

Step-1: Prime Factorization of 32315

Prime factors of 32315 are 5, 23, 281. Prime factorization of 32315 in exponential form is:

32315 = 5¹ × 23¹ × 281¹

Step-2: Prime Factorization of 32320

Prime factors of 32320 are 2, 5, 101. Prime factorization of 32320 in exponential form is:

32320 = 2⁶ × 5¹ × 101¹

Step-3: Factors of 32315

List of positive integer factors of 32315 that divides 32315 without a remainder.

1, 5, 23, 115, 281, 1405, 6463

Step-4: Factors of 32320

List of positive integer factors of 32320 that divides 32315 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 101, 160, 202, 320, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 6464, 8080, 16160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32315 and 32320. The biggest common factor number is the GCF number.
So the greatest common factor 32315 and 32320 is 5.

Also check out the Least Common Multiple of 32315 and 32320