What is the Greatest Common Factor of 8270 and 8280?

Greatest common factor (GCF) of 8270 and 8280 is 10.

GCF(8270,8280) = 10

We will now calculate the prime factors of 8270 and 8280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8270 and 8280.

How to find the GCF of 8270 and 8280?

We will first find the prime factorization of 8270 and 8280. After we will calculate the factors of 8270 and 8280 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 8270

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

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

Step-4: Factors of 8280

List of positive integer factors of 8280 that divides 8270 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8270 and 8280. The biggest common factor number is the GCF number.
So the greatest common factor 8270 and 8280 is 10.

Also check out the Least Common Multiple of 8270 and 8280