What is the Greatest Common Factor of 8280 and 8285?

Greatest common factor (GCF) of 8280 and 8285 is 5.

GCF(8280,8285) = 5

We will now calculate the prime factors of 8280 and 8285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8280 and 8285.

How to find the GCF of 8280 and 8285?

We will first find the prime factorization of 8280 and 8285. After we will calculate the factors of 8280 and 8285 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 8285

Prime factors of 8285 are 5, 1657. Prime factorization of 8285 in exponential form is:

8285 = 5¹ × 1657¹

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 8285

List of positive integer factors of 8285 that divides 8280 without a remainder.

1, 5, 1657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8280 and 8285. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8285 is 5.

Also check out the Least Common Multiple of 8280 and 8285