What is the Greatest Common Factor of 8250 and 8270?

Greatest common factor (GCF) of 8250 and 8270 is 10.

GCF(8250,8270) = 10

We will now calculate the prime factors of 8250 and 8270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8250 and 8270.

How to find the GCF of 8250 and 8270?

We will first find the prime factorization of 8250 and 8270. After we will calculate the factors of 8250 and 8270 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 8270

Prime factors of 8270 are 2, 5, 827. Prime factorization of 8270 in exponential form is:

8270 = 2¹ × 5¹ × 827¹

Step-3: Factors of 8250

List of positive integer factors of 8250 that divides 8250 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

Step-4: Factors of 8270

List of positive integer factors of 8270 that divides 8250 without a remainder.

1, 2, 5, 10, 827, 1654, 4135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8250 and 8270. The biggest common factor number is the GCF number.
So the greatest common factor 8250 and 8270 is 10.

Also check out the Least Common Multiple of 8250 and 8270