What is the Greatest Common Factor of 26832 and 26848?

Greatest common factor (GCF) of 26832 and 26848 is 16.

GCF(26832,26848) = 16

We will now calculate the prime factors of 26832 and 26848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26832 and 26848.

How to find the GCF of 26832 and 26848?

We will first find the prime factorization of 26832 and 26848. After we will calculate the factors of 26832 and 26848 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26848

Prime factors of 26848 are 2, 839. Prime factorization of 26848 in exponential form is:

26848 = 2⁵ × 839¹

Step-3: Factors of 26832

List of positive integer factors of 26832 that divides 26832 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

Step-4: Factors of 26848

List of positive integer factors of 26848 that divides 26832 without a remainder.

1, 2, 4, 8, 16, 32, 839, 1678, 3356, 6712, 13424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26832 and 26848. The biggest common factor number is the GCF number.
So the greatest common factor 26832 and 26848 is 16.

Also check out the Least Common Multiple of 26832 and 26848