What is the Greatest Common Factor of 32245 and 32250?

Greatest common factor (GCF) of 32245 and 32250 is 5.

GCF(32245,32250) = 5

We will now calculate the prime factors of 32245 and 32250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32245 and 32250.

How to find the GCF of 32245 and 32250?

We will first find the prime factorization of 32245 and 32250. After we will calculate the factors of 32245 and 32250 and find the biggest common factor number .

Step-1: Prime Factorization of 32245

Prime factors of 32245 are 5, 6449. Prime factorization of 32245 in exponential form is:

32245 = 5¹ × 6449¹

Step-2: Prime Factorization of 32250

Prime factors of 32250 are 2, 3, 5, 43. Prime factorization of 32250 in exponential form is:

32250 = 2¹ × 3¹ × 5³ × 43¹

Step-3: Factors of 32245

List of positive integer factors of 32245 that divides 32245 without a remainder.

1, 5, 6449

Step-4: Factors of 32250

List of positive integer factors of 32250 that divides 32245 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 43, 50, 75, 86, 125, 129, 150, 215, 250, 258, 375, 430, 645, 750, 1075, 1290, 2150, 3225, 5375, 6450, 10750, 16125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32245 and 32250. The biggest common factor number is the GCF number.
So the greatest common factor 32245 and 32250 is 5.

Also check out the Least Common Multiple of 32245 and 32250