What is the Greatest Common Factor of 12264 and 12284?

Greatest common factor (GCF) of 12264 and 12284 is 4.

GCF(12264,12284) = 4

We will now calculate the prime factors of 12264 and 12284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12264 and 12284.

How to find the GCF of 12264 and 12284?

We will first find the prime factorization of 12264 and 12284. After we will calculate the factors of 12264 and 12284 and find the biggest common factor number .

Step-1: Prime Factorization of 12264

Prime factors of 12264 are 2, 3, 7, 73. Prime factorization of 12264 in exponential form is:

12264 = 2³ × 3¹ × 7¹ × 73¹

Step-2: Prime Factorization of 12284

Prime factors of 12284 are 2, 37, 83. Prime factorization of 12284 in exponential form is:

12284 = 2² × 37¹ × 83¹

Step-3: Factors of 12264

List of positive integer factors of 12264 that divides 12264 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 73, 84, 146, 168, 219, 292, 438, 511, 584, 876, 1022, 1533, 1752, 2044, 3066, 4088, 6132

Step-4: Factors of 12284

List of positive integer factors of 12284 that divides 12264 without a remainder.

1, 2, 4, 37, 74, 83, 148, 166, 332, 3071, 6142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12264 and 12284. The biggest common factor number is the GCF number.
So the greatest common factor 12264 and 12284 is 4.

Also check out the Least Common Multiple of 12264 and 12284