What is the Greatest Common Factor of 26912 and 26928?

Greatest common factor (GCF) of 26912 and 26928 is 16.

GCF(26912,26928) = 16

We will now calculate the prime factors of 26912 and 26928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26912 and 26928.

How to find the GCF of 26912 and 26928?

We will first find the prime factorization of 26912 and 26928. After we will calculate the factors of 26912 and 26928 and find the biggest common factor number .

Step-1: Prime Factorization of 26912

Prime factors of 26912 are 2, 29. Prime factorization of 26912 in exponential form is:

26912 = 2⁵ × 29²

Step-2: Prime Factorization of 26928

Prime factors of 26928 are 2, 3, 11, 17. Prime factorization of 26928 in exponential form is:

26928 = 2⁴ × 3² × 11¹ × 17¹

Step-3: Factors of 26912

List of positive integer factors of 26912 that divides 26912 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 841, 928, 1682, 3364, 6728, 13456

Step-4: Factors of 26928

List of positive integer factors of 26928 that divides 26912 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 17, 18, 22, 24, 33, 34, 36, 44, 48, 51, 66, 68, 72, 88, 99, 102, 132, 136, 144, 153, 176, 187, 198, 204, 264, 272, 306, 374, 396, 408, 528, 561, 612, 748, 792, 816, 1122, 1224, 1496, 1584, 1683, 2244, 2448, 2992, 3366, 4488, 6732, 8976, 13464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26912 and 26928. The biggest common factor number is the GCF number.
So the greatest common factor 26912 and 26928 is 16.

Also check out the Least Common Multiple of 26912 and 26928