What is the Greatest Common Factor of 12816 and 12832?

Greatest common factor (GCF) of 12816 and 12832 is 16.

GCF(12816,12832) = 16

We will now calculate the prime factors of 12816 and 12832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12816 and 12832.

How to find the GCF of 12816 and 12832?

We will first find the prime factorization of 12816 and 12832. After we will calculate the factors of 12816 and 12832 and find the biggest common factor number .

Step-1: Prime Factorization of 12816

Prime factors of 12816 are 2, 3, 89. Prime factorization of 12816 in exponential form is:

12816 = 2⁴ × 3² × 89¹

Step-2: Prime Factorization of 12832

Prime factors of 12832 are 2, 401. Prime factorization of 12832 in exponential form is:

12832 = 2⁵ × 401¹

Step-3: Factors of 12816

List of positive integer factors of 12816 that divides 12816 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 89, 144, 178, 267, 356, 534, 712, 801, 1068, 1424, 1602, 2136, 3204, 4272, 6408

Step-4: Factors of 12832

List of positive integer factors of 12832 that divides 12816 without a remainder.

1, 2, 4, 8, 16, 32, 401, 802, 1604, 3208, 6416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12816 and 12832. The biggest common factor number is the GCF number.
So the greatest common factor 12816 and 12832 is 16.

Also check out the Least Common Multiple of 12816 and 12832