What is the Greatest Common Factor of 26880 and 26889?

Greatest common factor (GCF) of 26880 and 26889 is 3.

GCF(26880,26889) = 3

We will now calculate the prime factors of 26880 and 26889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26880 and 26889.

How to find the GCF of 26880 and 26889?

We will first find the prime factorization of 26880 and 26889. After we will calculate the factors of 26880 and 26889 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26889

Prime factors of 26889 are 3, 8963. Prime factorization of 26889 in exponential form is:

26889 = 3¹ × 8963¹

Step-3: Factors of 26880

List of positive integer factors of 26880 that divides 26880 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

Step-4: Factors of 26889

List of positive integer factors of 26889 that divides 26880 without a remainder.

1, 3, 8963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26880 and 26889. The biggest common factor number is the GCF number.
So the greatest common factor 26880 and 26889 is 3.

Also check out the Least Common Multiple of 26880 and 26889