What is the Greatest Common Factor of 26816 and 26832?

Greatest common factor (GCF) of 26816 and 26832 is 16.

GCF(26816,26832) = 16

We will now calculate the prime factors of 26816 and 26832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26816 and 26832.

How to find the GCF of 26816 and 26832?

We will first find the prime factorization of 26816 and 26832. After we will calculate the factors of 26816 and 26832 and find the biggest common factor number .

Step-1: Prime Factorization of 26816

Prime factors of 26816 are 2, 419. Prime factorization of 26816 in exponential form is:

26816 = 2⁶ × 419¹

Step-2: Prime Factorization of 26832

Prime factors of 26832 are 2, 3, 13, 43. Prime factorization of 26832 in exponential form is:

26832 = 2⁴ × 3¹ × 13¹ × 43¹

Step-3: Factors of 26816

List of positive integer factors of 26816 that divides 26816 without a remainder.

1, 2, 4, 8, 16, 32, 64, 419, 838, 1676, 3352, 6704, 13408

Step-4: Factors of 26832

List of positive integer factors of 26832 that divides 26816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 43, 48, 52, 78, 86, 104, 129, 156, 172, 208, 258, 312, 344, 516, 559, 624, 688, 1032, 1118, 1677, 2064, 2236, 3354, 4472, 6708, 8944, 13416

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26816 and 26832. The biggest common factor number is the GCF number.
So the greatest common factor 26816 and 26832 is 16.

Also check out the Least Common Multiple of 26816 and 26832