What is the Greatest Common Factor of 8272 and 8289?

Greatest common factor (GCF) of 8272 and 8289 is 1.

GCF(8272,8289) = 1

We will now calculate the prime factors of 8272 and 8289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8272 and 8289.

How to find the GCF of 8272 and 8289?

We will first find the prime factorization of 8272 and 8289. After we will calculate the factors of 8272 and 8289 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 8289

Prime factors of 8289 are 3, 307. Prime factorization of 8289 in exponential form is:

8289 = 3³ × 307¹

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 8289

List of positive integer factors of 8289 that divides 8272 without a remainder.

1, 3, 9, 27, 307, 921, 2763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8272 and 8289. The biggest common factor number is the GCF number.
So the greatest common factor 8272 and 8289 is 1.

Also check out the Least Common Multiple of 8272 and 8289