What is the Greatest Common Factor of 26880 and 26891?

Greatest common factor (GCF) of 26880 and 26891 is 1.

GCF(26880,26891) = 1

We will now calculate the prime factors of 26880 and 26891, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26880 and 26891.

How to find the GCF of 26880 and 26891?

We will first find the prime factorization of 26880 and 26891. After we will calculate the factors of 26880 and 26891 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 26891

Prime factors of 26891 are 26891. Prime factorization of 26891 in exponential form is:

26891 = 26891¹

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 26891

List of positive integer factors of 26891 that divides 26880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26880 and 26891. The biggest common factor number is the GCF number.
So the greatest common factor 26880 and 26891 is 1.

Also check out the Least Common Multiple of 26880 and 26891