What is the Greatest Common Factor of 26880 and 26890?

Greatest common factor (GCF) of 26880 and 26890 is 10.

GCF(26880,26890) = 10

We will now calculate the prime factors of 26880 and 26890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26880 and 26890.

How to find the GCF of 26880 and 26890?

We will first find the prime factorization of 26880 and 26890. After we will calculate the factors of 26880 and 26890 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 26890

Prime factors of 26890 are 2, 5, 2689. Prime factorization of 26890 in exponential form is:

26890 = 2¹ × 5¹ × 2689¹

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 26890

List of positive integer factors of 26890 that divides 26880 without a remainder.

1, 2, 5, 10, 2689, 5378, 13445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26880 and 26890. The biggest common factor number is the GCF number.
So the greatest common factor 26880 and 26890 is 10.

Also check out the Least Common Multiple of 26880 and 26890