What is the Greatest Common Factor of 8274 and 8288?

Greatest common factor (GCF) of 8274 and 8288 is 14.

GCF(8274,8288) = 14

We will now calculate the prime factors of 8274 and 8288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8274 and 8288.

How to find the GCF of 8274 and 8288?

We will first find the prime factorization of 8274 and 8288. After we will calculate the factors of 8274 and 8288 and find the biggest common factor number .

Step-1: Prime Factorization of 8274

Prime factors of 8274 are 2, 3, 7, 197. Prime factorization of 8274 in exponential form is:

8274 = 2¹ × 3¹ × 7¹ × 197¹

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 8274

List of positive integer factors of 8274 that divides 8274 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 197, 394, 591, 1182, 1379, 2758, 4137

Step-4: Factors of 8288

List of positive integer factors of 8288 that divides 8274 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 8274 and 8288. The biggest common factor number is the GCF number.
So the greatest common factor 8274 and 8288 is 14.

Also check out the Least Common Multiple of 8274 and 8288