What is the Greatest Common Factor of 32290 and 32300?

Greatest common factor (GCF) of 32290 and 32300 is 10.

GCF(32290,32300) = 10

We will now calculate the prime factors of 32290 and 32300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32290 and 32300.

How to find the GCF of 32290 and 32300?

We will first find the prime factorization of 32290 and 32300. After we will calculate the factors of 32290 and 32300 and find the biggest common factor number .

Step-1: Prime Factorization of 32290

Prime factors of 32290 are 2, 5, 3229. Prime factorization of 32290 in exponential form is:

32290 = 2¹ × 5¹ × 3229¹

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 32290

List of positive integer factors of 32290 that divides 32290 without a remainder.

1, 2, 5, 10, 3229, 6458, 16145

Step-4: Factors of 32300

List of positive integer factors of 32300 that divides 32290 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 32290 and 32300. The biggest common factor number is the GCF number.
So the greatest common factor 32290 and 32300 is 10.

Also check out the Least Common Multiple of 32290 and 32300