What is the Greatest Common Factor of 27000 and 27020?

Greatest common factor (GCF) of 27000 and 27020 is 20.

GCF(27000,27020) = 20

We will now calculate the prime factors of 27000 and 27020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27000 and 27020.

How to find the GCF of 27000 and 27020?

We will first find the prime factorization of 27000 and 27020. After we will calculate the factors of 27000 and 27020 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27020

Prime factors of 27020 are 2, 5, 7, 193. Prime factorization of 27020 in exponential form is:

27020 = 2² × 5¹ × 7¹ × 193¹

Step-3: Factors of 27000

List of positive integer factors of 27000 that divides 27000 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

Step-4: Factors of 27020

List of positive integer factors of 27020 that divides 27000 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 193, 386, 772, 965, 1351, 1930, 2702, 3860, 5404, 6755, 13510

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27000 and 27020. The biggest common factor number is the GCF number.
So the greatest common factor 27000 and 27020 is 20.

Also check out the Least Common Multiple of 27000 and 27020