What is the Greatest Common Factor of 8290 and 8310?

Greatest common factor (GCF) of 8290 and 8310 is 10.

GCF(8290,8310) = 10

We will now calculate the prime factors of 8290 and 8310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8290 and 8310.

How to find the GCF of 8290 and 8310?

We will first find the prime factorization of 8290 and 8310. After we will calculate the factors of 8290 and 8310 and find the biggest common factor number .

Step-1: Prime Factorization of 8290

Prime factors of 8290 are 2, 5, 829. Prime factorization of 8290 in exponential form is:

8290 = 2¹ × 5¹ × 829¹

Step-2: Prime Factorization of 8310

Prime factors of 8310 are 2, 3, 5, 277. Prime factorization of 8310 in exponential form is:

8310 = 2¹ × 3¹ × 5¹ × 277¹

Step-3: Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1, 2, 5, 10, 829, 1658, 4145

Step-4: Factors of 8310

List of positive integer factors of 8310 that divides 8290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8290 and 8310. The biggest common factor number is the GCF number.
So the greatest common factor 8290 and 8310 is 10.

Also check out the Least Common Multiple of 8290 and 8310