What is the Greatest Common Factor of 8240 and 8256?

Greatest common factor (GCF) of 8240 and 8256 is 16.

GCF(8240,8256) = 16

We will now calculate the prime factors of 8240 and 8256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8240 and 8256.

How to find the GCF of 8240 and 8256?

We will first find the prime factorization of 8240 and 8256. After we will calculate the factors of 8240 and 8256 and find the biggest common factor number .

Step-1: Prime Factorization of 8240

Prime factors of 8240 are 2, 5, 103. Prime factorization of 8240 in exponential form is:

8240 = 2⁴ × 5¹ × 103¹

Step-2: 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-3: Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120

Step-4: Factors of 8256

List of positive integer factors of 8256 that divides 8240 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8240 and 8256. The biggest common factor number is the GCF number.
So the greatest common factor 8240 and 8256 is 16.

Also check out the Least Common Multiple of 8240 and 8256