What is the Greatest Common Factor of 12240 and 12248?

Greatest common factor (GCF) of 12240 and 12248 is 8.

GCF(12240,12248) = 8

We will now calculate the prime factors of 12240 and 12248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12240 and 12248.

How to find the GCF of 12240 and 12248?

We will first find the prime factorization of 12240 and 12248. After we will calculate the factors of 12240 and 12248 and find the biggest common factor number .

Step-1: Prime Factorization of 12240

Prime factors of 12240 are 2, 3, 5, 17. Prime factorization of 12240 in exponential form is:

12240 = 2⁴ × 3² × 5¹ × 17¹

Step-2: Prime Factorization of 12248

Prime factors of 12248 are 2, 1531. Prime factorization of 12248 in exponential form is:

12248 = 2³ × 1531¹

Step-3: Factors of 12240

List of positive integer factors of 12240 that divides 12240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 17, 18, 20, 24, 30, 34, 36, 40, 45, 48, 51, 60, 68, 72, 80, 85, 90, 102, 120, 136, 144, 153, 170, 180, 204, 240, 255, 272, 306, 340, 360, 408, 510, 612, 680, 720, 765, 816, 1020, 1224, 1360, 1530, 2040, 2448, 3060, 4080, 6120

Step-4: Factors of 12248

List of positive integer factors of 12248 that divides 12240 without a remainder.

1, 2, 4, 8, 1531, 3062, 6124

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12240 and 12248. The biggest common factor number is the GCF number.
So the greatest common factor 12240 and 12248 is 8.

Also check out the Least Common Multiple of 12240 and 12248