What is the Greatest Common Factor of 32300 and 32315?

Greatest common factor (GCF) of 32300 and 32315 is 5.

GCF(32300,32315) = 5

We will now calculate the prime factors of 32300 and 32315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32300 and 32315.

How to find the GCF of 32300 and 32315?

We will first find the prime factorization of 32300 and 32315. After we will calculate the factors of 32300 and 32315 and find the biggest common factor number .

Step-1: Prime Factorization of 32300

Prime factors of 32300 are 2, 5, 17, 19. Prime factorization of 32300 in exponential form is:

32300 = 2² × 5² × 17¹ × 19¹

Step-2: 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-3: Factors of 32300

List of positive integer factors of 32300 that divides 32300 without a remainder.

1, 2, 4, 5, 10, 17, 19, 20, 25, 34, 38, 50, 68, 76, 85, 95, 100, 170, 190, 323, 340, 380, 425, 475, 646, 850, 950, 1292, 1615, 1700, 1900, 3230, 6460, 8075, 16150

Step-4: Factors of 32315

List of positive integer factors of 32315 that divides 32300 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32300 and 32315. The biggest common factor number is the GCF number.
So the greatest common factor 32300 and 32315 is 5.

Also check out the Least Common Multiple of 32300 and 32315