What is the Greatest Common Factor of 12258 and 12272?

Greatest common factor (GCF) of 12258 and 12272 is 2.

GCF(12258,12272) = 2

We will now calculate the prime factors of 12258 and 12272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12258 and 12272.

How to find the GCF of 12258 and 12272?

We will first find the prime factorization of 12258 and 12272. After we will calculate the factors of 12258 and 12272 and find the biggest common factor number .

Step-1: Prime Factorization of 12258

Prime factors of 12258 are 2, 3, 227. Prime factorization of 12258 in exponential form is:

12258 = 2¹ × 3³ × 227¹

Step-2: 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-3: Factors of 12258

List of positive integer factors of 12258 that divides 12258 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 227, 454, 681, 1362, 2043, 4086, 6129

Step-4: Factors of 12272

List of positive integer factors of 12272 that divides 12258 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12258 and 12272. The biggest common factor number is the GCF number.
So the greatest common factor 12258 and 12272 is 2.

Also check out the Least Common Multiple of 12258 and 12272