What is the Greatest Common Factor of 8268 and 8288?

Greatest common factor (GCF) of 8268 and 8288 is 4.

GCF(8268,8288) = 4

We will now calculate the prime factors of 8268 and 8288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8268 and 8288.

How to find the GCF of 8268 and 8288?

We will first find the prime factorization of 8268 and 8288. After we will calculate the factors of 8268 and 8288 and find the biggest common factor number .

Step-1: Prime Factorization of 8268

Prime factors of 8268 are 2, 3, 13, 53. Prime factorization of 8268 in exponential form is:

8268 = 2² × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 8288

Prime factors of 8288 are 2, 7, 37. Prime factorization of 8288 in exponential form is:

8288 = 2⁵ × 7¹ × 37¹

Step-3: Factors of 8268

List of positive integer factors of 8268 that divides 8268 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 53, 78, 106, 156, 159, 212, 318, 636, 689, 1378, 2067, 2756, 4134

Step-4: Factors of 8288

List of positive integer factors of 8288 that divides 8268 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8268 and 8288. The biggest common factor number is the GCF number.
So the greatest common factor 8268 and 8288 is 4.

Also check out the Least Common Multiple of 8268 and 8288