What is the Greatest Common Factor of 8262 and 8279?

Greatest common factor (GCF) of 8262 and 8279 is 17.

GCF(8262,8279) = 17

We will now calculate the prime factors of 8262 and 8279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8262 and 8279.

How to find the GCF of 8262 and 8279?

We will first find the prime factorization of 8262 and 8279. After we will calculate the factors of 8262 and 8279 and find the biggest common factor number .

Step-1: Prime Factorization of 8262

Prime factors of 8262 are 2, 3, 17. Prime factorization of 8262 in exponential form is:

8262 = 2¹ × 3⁵ × 17¹

Step-2: Prime Factorization of 8279

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

8279 = 17¹ × 487¹

Step-3: Factors of 8262

List of positive integer factors of 8262 that divides 8262 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 81, 102, 153, 162, 243, 306, 459, 486, 918, 1377, 2754, 4131

Step-4: Factors of 8279

List of positive integer factors of 8279 that divides 8262 without a remainder.

1, 17, 487

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8262 and 8279. The biggest common factor number is the GCF number.
So the greatest common factor 8262 and 8279 is 17.

Also check out the Least Common Multiple of 8262 and 8279