What is the Greatest Common Factor of 8272 and 8284?

Greatest common factor (GCF) of 8272 and 8284 is 4.

GCF(8272,8284) = 4

We will now calculate the prime factors of 8272 and 8284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8272 and 8284.

How to find the GCF of 8272 and 8284?

We will first find the prime factorization of 8272 and 8284. After we will calculate the factors of 8272 and 8284 and find the biggest common factor number .

Step-1: Prime Factorization of 8272

Prime factors of 8272 are 2, 11, 47. Prime factorization of 8272 in exponential form is:

8272 = 2⁴ × 11¹ × 47¹

Step-2: Prime Factorization of 8284

Prime factors of 8284 are 2, 19, 109. Prime factorization of 8284 in exponential form is:

8284 = 2² × 19¹ × 109¹

Step-3: Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 176, 188, 376, 517, 752, 1034, 2068, 4136

Step-4: Factors of 8284

List of positive integer factors of 8284 that divides 8272 without a remainder.

1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8272 and 8284. The biggest common factor number is the GCF number.
So the greatest common factor 8272 and 8284 is 4.

Also check out the Least Common Multiple of 8272 and 8284