What is the Greatest Common Factor of 8280 and 8290?

Greatest common factor (GCF) of 8280 and 8290 is 10.

GCF(8280,8290) = 10

We will now calculate the prime factors of 8280 and 8290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8280 and 8290.

How to find the GCF of 8280 and 8290?

We will first find the prime factorization of 8280 and 8290. After we will calculate the factors of 8280 and 8290 and find the biggest common factor number .

Step-1: Prime Factorization of 8280

Prime factors of 8280 are 2, 3, 5, 23. Prime factorization of 8280 in exponential form is:

8280 = 2³ × 3² × 5¹ × 23¹

Step-2: 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-3: Factors of 8280

List of positive integer factors of 8280 that divides 8280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 30, 36, 40, 45, 46, 60, 69, 72, 90, 92, 115, 120, 138, 180, 184, 207, 230, 276, 345, 360, 414, 460, 552, 690, 828, 920, 1035, 1380, 1656, 2070, 2760, 4140

Step-4: Factors of 8290

List of positive integer factors of 8290 that divides 8280 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8280 and 8290. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8290 is 10.

Also check out the Least Common Multiple of 8280 and 8290