What is the Greatest Common Factor of 26928 and 26940?

Greatest common factor (GCF) of 26928 and 26940 is 12.

GCF(26928,26940) = 12

We will now calculate the prime factors of 26928 and 26940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26928 and 26940.

How to find the GCF of 26928 and 26940?

We will first find the prime factorization of 26928 and 26940. After we will calculate the factors of 26928 and 26940 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 26940

Prime factors of 26940 are 2, 3, 5, 449. Prime factorization of 26940 in exponential form is:

26940 = 2² × 3¹ × 5¹ × 449¹

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 26940

List of positive integer factors of 26940 that divides 26928 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 449, 898, 1347, 1796, 2245, 2694, 4490, 5388, 6735, 8980, 13470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26928 and 26940. The biggest common factor number is the GCF number.
So the greatest common factor 26928 and 26940 is 12.

Also check out the Least Common Multiple of 26928 and 26940