What is the Greatest Common Factor of 8235 and 8250?

Greatest common factor (GCF) of 8235 and 8250 is 15.

GCF(8235,8250) = 15

We will now calculate the prime factors of 8235 and 8250, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8235 and 8250.

How to find the GCF of 8235 and 8250?

We will first find the prime factorization of 8235 and 8250. After we will calculate the factors of 8235 and 8250 and find the biggest common factor number .

Step-1: Prime Factorization of 8235

Prime factors of 8235 are 3, 5, 61. Prime factorization of 8235 in exponential form is:

8235 = 3³ × 5¹ × 61¹

Step-2: Prime Factorization of 8250

Prime factors of 8250 are 2, 3, 5, 11. Prime factorization of 8250 in exponential form is:

8250 = 2¹ × 3¹ × 5³ × 11¹

Step-3: Factors of 8235

List of positive integer factors of 8235 that divides 8235 without a remainder.

1, 3, 5, 9, 15, 27, 45, 61, 135, 183, 305, 549, 915, 1647, 2745

Step-4: Factors of 8250

List of positive integer factors of 8250 that divides 8235 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 125, 150, 165, 250, 275, 330, 375, 550, 750, 825, 1375, 1650, 2750, 4125

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8235 and 8250. The biggest common factor number is the GCF number.
So the greatest common factor 8235 and 8250 is 15.

Also check out the Least Common Multiple of 8235 and 8250