What is the Greatest Common Factor of 12408 and 12416?

Greatest common factor (GCF) of 12408 and 12416 is 8.

GCF(12408,12416) = 8

We will now calculate the prime factors of 12408 and 12416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12408 and 12416.

How to find the GCF of 12408 and 12416?

We will first find the prime factorization of 12408 and 12416. After we will calculate the factors of 12408 and 12416 and find the biggest common factor number .

Step-1: Prime Factorization of 12408

Prime factors of 12408 are 2, 3, 11, 47. Prime factorization of 12408 in exponential form is:

12408 = 2³ × 3¹ × 11¹ × 47¹

Step-2: Prime Factorization of 12416

Prime factors of 12416 are 2, 97. Prime factorization of 12416 in exponential form is:

12416 = 2⁷ × 97¹

Step-3: Factors of 12408

List of positive integer factors of 12408 that divides 12408 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 47, 66, 88, 94, 132, 141, 188, 264, 282, 376, 517, 564, 1034, 1128, 1551, 2068, 3102, 4136, 6204

Step-4: Factors of 12416

List of positive integer factors of 12416 that divides 12408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 97, 128, 194, 388, 776, 1552, 3104, 6208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12408 and 12416. The biggest common factor number is the GCF number.
So the greatest common factor 12408 and 12416 is 8.

Also check out the Least Common Multiple of 12408 and 12416