What is the Greatest Common Factor of 32283 and 32300?

Greatest common factor (GCF) of 32283 and 32300 is 17.

GCF(32283,32300) = 17

We will now calculate the prime factors of 32283 and 32300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32283 and 32300.

How to find the GCF of 32283 and 32300?

We will first find the prime factorization of 32283 and 32300. After we will calculate the factors of 32283 and 32300 and find the biggest common factor number .

Step-1: Prime Factorization of 32283

Prime factors of 32283 are 3, 17, 211. Prime factorization of 32283 in exponential form is:

32283 = 3² × 17¹ × 211¹

Step-2: 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-3: Factors of 32283

List of positive integer factors of 32283 that divides 32283 without a remainder.

1, 3, 9, 17, 51, 153, 211, 633, 1899, 3587, 10761

Step-4: Factors of 32300

List of positive integer factors of 32300 that divides 32283 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32283 and 32300. The biggest common factor number is the GCF number.
So the greatest common factor 32283 and 32300 is 17.

Also check out the Least Common Multiple of 32283 and 32300