What is the Greatest Common Factor of 32230 and 32250?

Greatest common factor (GCF) of 32230 and 32250 is 10.

GCF(32230,32250) = 10

We will now calculate the prime factors of 32230 and 32250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32230 and 32250.

How to find the GCF of 32230 and 32250?

We will first find the prime factorization of 32230 and 32250. After we will calculate the factors of 32230 and 32250 and find the biggest common factor number .

Step-1: Prime Factorization of 32230

Prime factors of 32230 are 2, 5, 11, 293. Prime factorization of 32230 in exponential form is:

32230 = 2¹ × 5¹ × 11¹ × 293¹

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 32230

List of positive integer factors of 32230 that divides 32230 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 293, 586, 1465, 2930, 3223, 6446, 16115

Step-4: Factors of 32250

List of positive integer factors of 32250 that divides 32230 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 32230 and 32250. The biggest common factor number is the GCF number.
So the greatest common factor 32230 and 32250 is 10.

Also check out the Least Common Multiple of 32230 and 32250