What is the Greatest Common Factor of 26919 and 26928?

Greatest common factor (GCF) of 26919 and 26928 is 9.

GCF(26919,26928) = 9

We will now calculate the prime factors of 26919 and 26928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26919 and 26928.

How to find the GCF of 26919 and 26928?

We will first find the prime factorization of 26919 and 26928. After we will calculate the factors of 26919 and 26928 and find the biggest common factor number .

Step-1: Prime Factorization of 26919

Prime factors of 26919 are 3, 997. Prime factorization of 26919 in exponential form is:

26919 = 3³ × 997¹

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 26919

List of positive integer factors of 26919 that divides 26919 without a remainder.

1, 3, 9, 27, 997, 2991, 8973

Step-4: Factors of 26928

List of positive integer factors of 26928 that divides 26919 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 26919 and 26928. The biggest common factor number is the GCF number.
So the greatest common factor 26919 and 26928 is 9.

Also check out the Least Common Multiple of 26919 and 26928