What is the Greatest Common Factor of 8256 and 8270?

Greatest common factor (GCF) of 8256 and 8270 is 2.

GCF(8256,8270) = 2

We will now calculate the prime factors of 8256 and 8270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8256 and 8270.

How to find the GCF of 8256 and 8270?

We will first find the prime factorization of 8256 and 8270. After we will calculate the factors of 8256 and 8270 and find the biggest common factor number .

Step-1: Prime Factorization of 8256

Prime factors of 8256 are 2, 3, 43. Prime factorization of 8256 in exponential form is:

8256 = 2⁶ × 3¹ × 43¹

Step-2: 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-3: Factors of 8256

List of positive integer factors of 8256 that divides 8256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128

Step-4: Factors of 8270

List of positive integer factors of 8270 that divides 8256 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8256 and 8270. The biggest common factor number is the GCF number.
So the greatest common factor 8256 and 8270 is 2.

Also check out the Least Common Multiple of 8256 and 8270