What is the Greatest Common Factor of 26866 and 26880?

Greatest common factor (GCF) of 26866 and 26880 is 14.

GCF(26866,26880) = 14

We will now calculate the prime factors of 26866 and 26880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26866 and 26880.

How to find the GCF of 26866 and 26880?

We will first find the prime factorization of 26866 and 26880. After we will calculate the factors of 26866 and 26880 and find the biggest common factor number .

Step-1: Prime Factorization of 26866

Prime factors of 26866 are 2, 7, 19, 101. Prime factorization of 26866 in exponential form is:

26866 = 2¹ × 7¹ × 19¹ × 101¹

Step-2: Prime Factorization of 26880

Prime factors of 26880 are 2, 3, 5, 7. Prime factorization of 26880 in exponential form is:

26880 = 2⁸ × 3¹ × 5¹ × 7¹

Step-3: Factors of 26866

List of positive integer factors of 26866 that divides 26866 without a remainder.

1, 2, 7, 14, 19, 38, 101, 133, 202, 266, 707, 1414, 1919, 3838, 13433

Step-4: Factors of 26880

List of positive integer factors of 26880 that divides 26866 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 32, 35, 40, 42, 48, 56, 60, 64, 70, 80, 84, 96, 105, 112, 120, 128, 140, 160, 168, 192, 210, 224, 240, 256, 280, 320, 336, 384, 420, 448, 480, 560, 640, 672, 768, 840, 896, 960, 1120, 1280, 1344, 1680, 1792, 1920, 2240, 2688, 3360, 3840, 4480, 5376, 6720, 8960, 13440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26866 and 26880. The biggest common factor number is the GCF number.
So the greatest common factor 26866 and 26880 is 14.

Also check out the Least Common Multiple of 26866 and 26880