What is the Greatest Common Factor of 26994 and 27000?

Greatest common factor (GCF) of 26994 and 27000 is 6.

GCF(26994,27000) = 6

We will now calculate the prime factors of 26994 and 27000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26994 and 27000.

How to find the GCF of 26994 and 27000?

We will first find the prime factorization of 26994 and 27000. After we will calculate the factors of 26994 and 27000 and find the biggest common factor number .

Step-1: Prime Factorization of 26994

Prime factors of 26994 are 2, 3, 11, 409. Prime factorization of 26994 in exponential form is:

26994 = 2¹ × 3¹ × 11¹ × 409¹

Step-2: Prime Factorization of 27000

Prime factors of 27000 are 2, 3, 5. Prime factorization of 27000 in exponential form is:

27000 = 2³ × 3³ × 5³

Step-3: Factors of 26994

List of positive integer factors of 26994 that divides 26994 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 409, 818, 1227, 2454, 4499, 8998, 13497

Step-4: Factors of 27000

List of positive integer factors of 27000 that divides 26994 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27, 30, 36, 40, 45, 50, 54, 60, 72, 75, 90, 100, 108, 120, 125, 135, 150, 180, 200, 216, 225, 250, 270, 300, 360, 375, 450, 500, 540, 600, 675, 750, 900, 1000, 1080, 1125, 1350, 1500, 1800, 2250, 2700, 3000, 3375, 4500, 5400, 6750, 9000, 13500

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26994 and 27000. The biggest common factor number is the GCF number.
So the greatest common factor 26994 and 27000 is 6.

Also check out the Least Common Multiple of 26994 and 27000