What is the Greatest Common Factor of 26880 and 26887?

Greatest common factor (GCF) of 26880 and 26887 is 7.

GCF(26880,26887) = 7

We will now calculate the prime factors of 26880 and 26887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26880 and 26887.

How to find the GCF of 26880 and 26887?

We will first find the prime factorization of 26880 and 26887. After we will calculate the factors of 26880 and 26887 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 26887

Prime factors of 26887 are 7, 23, 167. Prime factorization of 26887 in exponential form is:

26887 = 7¹ × 23¹ × 167¹

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 26887

List of positive integer factors of 26887 that divides 26880 without a remainder.

1, 7, 23, 161, 167, 1169, 3841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26880 and 26887. The biggest common factor number is the GCF number.
So the greatest common factor 26880 and 26887 is 7.

Also check out the Least Common Multiple of 26880 and 26887