What is the Greatest Common Factor of 12272 and 12289?

Greatest common factor (GCF) of 12272 and 12289 is 1.

GCF(12272,12289) = 1

We will now calculate the prime factors of 12272 and 12289, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12272 and 12289.

How to find the GCF of 12272 and 12289?

We will first find the prime factorization of 12272 and 12289. After we will calculate the factors of 12272 and 12289 and find the biggest common factor number .

Step-1: Prime Factorization of 12272

Prime factors of 12272 are 2, 13, 59. Prime factorization of 12272 in exponential form is:

12272 = 2⁴ × 13¹ × 59¹

Step-2: Prime Factorization of 12289

Prime factors of 12289 are 12289. Prime factorization of 12289 in exponential form is:

12289 = 12289¹

Step-3: Factors of 12272

List of positive integer factors of 12272 that divides 12272 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 59, 104, 118, 208, 236, 472, 767, 944, 1534, 3068, 6136

Step-4: Factors of 12289

List of positive integer factors of 12289 that divides 12272 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12272 and 12289. The biggest common factor number is the GCF number.
So the greatest common factor 12272 and 12289 is 1.

Also check out the Least Common Multiple of 12272 and 12289