What is the Greatest Common Factor of 26928 and 26941?

Greatest common factor (GCF) of 26928 and 26941 is 1.

GCF(26928,26941) = 1

We will now calculate the prime factors of 26928 and 26941, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26928 and 26941.

How to find the GCF of 26928 and 26941?

We will first find the prime factorization of 26928 and 26941. After we will calculate the factors of 26928 and 26941 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 26941

Prime factors of 26941 are 29, 929. Prime factorization of 26941 in exponential form is:

26941 = 29¹ × 929¹

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 26941

List of positive integer factors of 26941 that divides 26928 without a remainder.

1, 29, 929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26928 and 26941. The biggest common factor number is the GCF number.
So the greatest common factor 26928 and 26941 is 1.

Also check out the Least Common Multiple of 26928 and 26941