What is the Greatest Common Factor of 26989 and 27000?

Greatest common factor (GCF) of 26989 and 27000 is 1.

GCF(26989,27000) = 1

We will now calculate the prime factors of 26989 and 27000, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26989 and 27000.

How to find the GCF of 26989 and 27000?

We will first find the prime factorization of 26989 and 27000. After we will calculate the factors of 26989 and 27000 and find the biggest common factor number .

Step-1: Prime Factorization of 26989

Prime factors of 26989 are 137, 197. Prime factorization of 26989 in exponential form is:

26989 = 137¹ × 197¹

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 26989

List of positive integer factors of 26989 that divides 26989 without a remainder.

1, 137, 197

Step-4: Factors of 27000

List of positive integer factors of 27000 that divides 26989 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 26989 and 27000. The biggest common factor number is the GCF number.
So the greatest common factor 26989 and 27000 is 1.

Also check out the Least Common Multiple of 26989 and 27000