What is the Greatest Common Factor of 8279 and 8296?

Greatest common factor (GCF) of 8279 and 8296 is 17.

GCF(8279,8296) = 17

We will now calculate the prime factors of 8279 and 8296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8279 and 8296.

How to find the GCF of 8279 and 8296?

We will first find the prime factorization of 8279 and 8296. After we will calculate the factors of 8279 and 8296 and find the biggest common factor number .

Step-1: Prime Factorization of 8279

Prime factors of 8279 are 17, 487. Prime factorization of 8279 in exponential form is:

8279 = 17¹ × 487¹

Step-2: Prime Factorization of 8296

Prime factors of 8296 are 2, 17, 61. Prime factorization of 8296 in exponential form is:

8296 = 2³ × 17¹ × 61¹

Step-3: Factors of 8279

List of positive integer factors of 8279 that divides 8279 without a remainder.

1, 17, 487

Step-4: Factors of 8296

List of positive integer factors of 8296 that divides 8279 without a remainder.

1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8279 and 8296. The biggest common factor number is the GCF number.
So the greatest common factor 8279 and 8296 is 17.

Also check out the Least Common Multiple of 8279 and 8296