What is the Greatest Common Factor of 8280 and 8295?

Greatest common factor (GCF) of 8280 and 8295 is 15.

GCF(8280,8295) = 15

We will now calculate the prime factors of 8280 and 8295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8280 and 8295.

How to find the GCF of 8280 and 8295?

We will first find the prime factorization of 8280 and 8295. After we will calculate the factors of 8280 and 8295 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 8295

Prime factors of 8295 are 3, 5, 7, 79. Prime factorization of 8295 in exponential form is:

8295 = 3¹ × 5¹ × 7¹ × 79¹

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 8295

List of positive integer factors of 8295 that divides 8280 without a remainder.

1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8280 and 8295. The biggest common factor number is the GCF number.
So the greatest common factor 8280 and 8295 is 15.

Also check out the Least Common Multiple of 8280 and 8295