What is the Greatest Common Factor of 26928 and 26946?

Greatest common factor (GCF) of 26928 and 26946 is 18.

GCF(26928,26946) = 18

We will now calculate the prime factors of 26928 and 26946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26928 and 26946.

How to find the GCF of 26928 and 26946?

We will first find the prime factorization of 26928 and 26946. After we will calculate the factors of 26928 and 26946 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26946

Prime factors of 26946 are 2, 3, 499. Prime factorization of 26946 in exponential form is:

26946 = 2¹ × 3³ × 499¹

Step-3: Factors of 26928

List of positive integer factors of 26928 that divides 26928 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

Step-4: Factors of 26946

List of positive integer factors of 26946 that divides 26928 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 499, 998, 1497, 2994, 4491, 8982, 13473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26928 and 26946. The biggest common factor number is the GCF number.
So the greatest common factor 26928 and 26946 is 18.

Also check out the Least Common Multiple of 26928 and 26946