What is the Greatest Common Factor of 8273 and 8280?

Greatest common factor (GCF) of 8273 and 8280 is 1.

GCF(8273,8280) = 1

We will now calculate the prime factors of 8273 and 8280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8273 and 8280.

How to find the GCF of 8273 and 8280?

We will first find the prime factorization of 8273 and 8280. After we will calculate the factors of 8273 and 8280 and find the biggest common factor number .

Step-1: Prime Factorization of 8273

Prime factors of 8273 are 8273. Prime factorization of 8273 in exponential form is:

8273 = 8273¹

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 8273

List of positive integer factors of 8273 that divides 8273 without a remainder.

Step-4: Factors of 8280

List of positive integer factors of 8280 that divides 8273 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 8273 and 8280. The biggest common factor number is the GCF number.
So the greatest common factor 8273 and 8280 is 1.

Also check out the Least Common Multiple of 8273 and 8280